NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 13:59 It is currently 23 Apr 2024, 13:59
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the area of the triangle formed by lines y = 5-x, 2y

SORT BY:
Date
Kudos
 1   2   
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
abhi758
Manager
Manager
Joined: 16 Jul 2009
Posts: 140
Own Kudos [?]: 2408 [78]
Given Kudos: 3
Send PM
What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   08 Jun 2010, 09:40
4
Kudos
74
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

75% (02:41) correct 25% (02:40) wrong based on 865 sessions
Hide Show timer Statistics
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

A. 7.5
B. 8.0
C. 9.0
D. 10.5
E. 15.0

M21-33

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.

Experience a GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [27]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   08 Jun 2010, 10:09
13
Kudos
14
Bookmarks
Expert Reply
abhi758 wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.


We have three equations of lines: \(y_1=0\) (x-axis), \(y_2=\frac{3x}{2}\), \(y_3= 5-x\).

Equate the functions to get the x-coordinate of the vertex (x-coordinate of the intersection point) and then substitute this value in either of functions to get y-coordinate of the vertex.

First vertex: \(y_1=0=y_2=\frac{3x}{2}\) --> \(x=0\), \(y=0\) --> \(vertex_1=(0,0)\);
Second vertex: \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);
Third vertex: \(y_2=\frac{3x}{2}=y_3=5-x\) --> \(x=2\), \(y=3\) --> \(vertex_3=(2,3)\).

\(Base=5\), \(Height=3\) --> \(Area=\frac{1}{2}*Base*Height=7.5\).

Answer: A.
General Discussion
User avatar
abhi758
Manager
Manager
Joined: 16 Jul 2009
Posts: 140
Own Kudos [?]: 2408 [2]
Given Kudos: 3
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   08 Jun 2010, 10:25
2
Kudos
Thanks Bunnel for the detailed explanation! Very helpful..
User avatar
vigneshpandi
Manager
Manager
Joined: 23 Sep 2009
Posts: 71
Own Kudos [?]: 526 [0]
Given Kudos: 37
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   04 Nov 2010, 16:17
I got the three co-ordinates as (5,5) (0,0) and (2,3)...
Anyone Please tel me where am i going wrong?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [4]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   04 Nov 2010, 18:16
4
Kudos
Expert Reply
vigneshpandi wrote:
I got the three co-ordinates as (5,5) (0,0) and (2,3)...
Anyone Please tel me where am i going wrong?


Second vertex: intersection of \(y=0\) and \(y=5-x\) --> \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);

Or refer to the graphs below:
Attachment:
graph.php.png
graph.php.png [ 19.97 KiB | Viewed 39260 times ]
Hope it's clear.
User avatar
medanova
Manager
Manager
Joined: 19 Aug 2010
Posts: 51
Own Kudos [?]: 97 [0]
Given Kudos: 2
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   06 Nov 2010, 10:33
Bunuel, what do you use for making the graphs?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [1]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   06 Nov 2010, 10:38
1
Bookmarks
Expert Reply
medanova wrote:
Bunuel, what do you use for making the graphs?


There are many online graph plotters, try this one: https://graph-plotter.cours-de-math.eu/ or: https://www.wolframalpha.com/
User avatar
sanjoo
Senior Manager
Senior Manager
Joined: 06 Aug 2011
Posts: 269
Own Kudos [?]: 596 [1]
Given Kudos: 82
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   10 Mar 2014, 05:04
1
Kudos
Bunuel.. I got this question in gmat club tests..

What is the area of a triangle enclosed by line 2x+3y=6, line y−x=2 and X-axis on the coordinate plane?

My question is.. why approach is different ?

If 2x+3y=6 and x=0 then y=2. And when y=0 then x=3.. (0,2) (3,0)

then y cant we do same with y=5-x? (5,0) (0,5)

and 2x=3y.. x=0 and y=0

where m wrong?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [1]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   10 Mar 2014, 06:30
1
Bookmarks
Expert Reply
sanjoo wrote:
Bunuel.. I got this question in gmat club tests..

What is the area of a triangle enclosed by line 2x+3y=6, line y−x=2 and X-axis on the coordinate plane?

My question is.. why approach is different ?

If 2x+3y=6 and x=0 then y=2. And when y=0 then x=3.. (0,2) (3,0)

then y cant we do same with y=5-x? (5,0) (0,5)

and 2x=3y.. x=0 and y=0

where m wrong?


Below is that question. Please point out what differences are you talking about.

What is the area of a triangle enclosed by line 2x+3y=6, line y-x=2 and X-axis on the coordinate plane?

A. 3
B. 4
C. 5
D. 8
E. 10

Look at the diagram below:
Attachment:
Area.png
Area.png [ 7.92 KiB | Viewed 37802 times ]

Lines \(y=-\frac{2}{3}x+2\) and \(y=x+2\) intersect at point (0, 2). So the height of enclosed triangle is 2. Next, X-intercept of line \(y=-\frac{2}{3}x+2\) is (3, 0) and X-intercept of line \(y=x+2\) is (-2, 0), so the base of enclosed triangle is 3-(-2)=5. The area is \(\frac{1}{2}*base*height=\frac{1}{2}*5*2=5\).

Answer: C.
User avatar
sanjoo
Senior Manager
Senior Manager
Joined: 06 Aug 2011
Posts: 269
Own Kudos [?]: 596 [0]
Given Kudos: 82
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   11 Mar 2014, 01:36
Bunuel wrote:
abhi758 wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.


We have three equations of lines: \(y_1=0\) (x-axis), \(y_2=\frac{3x}{2}\), \(y_3= 5-x\).

Equate the functions to get the x-coordinate of the vertex (x-coordinate of the intersection point) and then substitute this value in either of functions to get y-coordinate of the vertex.

First vertex: \(y_1=0=y_2=\frac{3x}{2}\) --> \(x=0\), \(y=0\) --> \(vertex_1=(0,0)\);
Second vertex: \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);
Third vertex: \(y_2=\frac{3x}{2}=y_3=5-x\) --> \(x=2\), \(y=3\) --> \(vertex_3=(2,3)\).

\(Base=5\), \(Height=3\) --> \(Area=\frac{1}{2}*Base*Height=7.5\).

Answer: A.


actually this highlighted thing is my question.. y have we taken another equation y=3/2x to get the points of equation y=5-x?

What is the area of a triangle enclosed by line 2x+3y=6, line y-x=2 and X-axis on the coordinate plane?

and i tuk this question (in bold text) to show u that , we didnt do same thing in this question. we tuk different vertices by individully solving an equation.

i tried my best to explain my question

thank u
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [3]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   11 Mar 2014, 02:11
1
Kudos
2
Bookmarks
Expert Reply
sanjoo wrote:
Bunuel wrote:
abhi758 wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.


We have three equations of lines: \(y_1=0\) (x-axis), \(y_2=\frac{3x}{2}\), \(y_3= 5-x\).

Equate the functions to get the x-coordinate of the vertex (x-coordinate of the intersection point) and then substitute this value in either of functions to get y-coordinate of the vertex.

First vertex: \(y_1=0=y_2=\frac{3x}{2}\) --> \(x=0\), \(y=0\) --> \(vertex_1=(0,0)\);
Second vertex: \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);
Third vertex: \(y_2=\frac{3x}{2}=y_3=5-x\) --> \(x=2\), \(y=3\) --> \(vertex_3=(2,3)\).

\(Base=5\), \(Height=3\) --> \(Area=\frac{1}{2}*Base*Height=7.5\).

Answer: A.


actually this highlighted thing is my question.. y have we taken another equation y=3/2x to get the points of equation y=5-x?

What is the area of a triangle enclosed by line 2x+3y=6, line y-x=2 and X-axis on the coordinate plane?

and i tuk this question (in bold text) to show u that , we didnt do same thing in this question. we tuk different vertices by individully solving an equation.

i tried my best to explain my question

thank u


The approaches are identical for both questions:

The base in both, is on x-axis. Find x-intercepts of other two lines and find the difference between them to get the length of the base.
Next, find at what point do these two lines intersect. y-coordinate of that point would be the height.

To get intersection point of two lines y=3x/2 and y=5-x, we equate 3x/2 and 5-x to get x-coordinate of intersection point --> 3x/2=5-x --> x=2. Then we substitute it into either of the equations to get y=coordinate of intersection point --> y=5-2=3. So, y=3x/2 and y=5-x intersect at (2,3).

Hope it's clear.
avatar
rxn
Intern
Intern
Joined: 15 May 2013
Posts: 10
Own Kudos [?]: [0]
Given Kudos: 12
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   12 Apr 2014, 10:23
Q: What is the area of the triangle formed by lines y=5−x, 2y=3x, and y=0?

Having trouble understanding the best approach to calculating vertices of the triangle which are given as follows:

(0,0)
(5,0)
(2,3)

Can anyone explain the best approach for calculating these? I'm fine with calculating the area once I have the vertices.

Thanks.
User avatar
ind23
Intern
Intern
Joined: 10 Apr 2014
Posts: 23
Own Kudos [?]: 48 [0]
Given Kudos: 3
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   12 Apr 2014, 13:03
rxn wrote:
Q: What is the area of the triangle formed by lines y=5−x, 2y=3x, and y=0?

Having trouble understanding the best approach to calculating vertices of the triangle which are given as follows:

(0,0)
(5,0)
(2,3)

Can anyone explain the best approach for calculating these? I'm fine with calculating the area once I have the vertices.

Thanks.



The vertices are the points where these lines intersect with each other.
so, solve two two equation together:

point where y=0 and 2y = 3x intersect: put y=0 in 2y = 2x => x = 0, so coordinates (x,y) = (0,0)
point where y = 0 and y = 5 - x intersect: put y=0 in y = 5-x => x = 5, so coordinates (x,y) = (5,0)
point where 2y = 3x and y = 5 - x intersect: put y=3x/2 in y = 5-x => x = 2; y = 3, so coordinates (x,y) = (2,3)

--------------------------------
Kudos if the answer helped :)
avatar
B
martinnotceoyet
Intern
Intern
Joined: 09 Dec 2013
Posts: 5
Own Kudos [?]: [0]
Given Kudos: 2
Location: United States
Schools: Harvard '23 (S) Booth '23 (WL)
GPA: 3.6
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   13 Apr 2014, 05:54
Alternatively, you could draw a quick graph on your scratch paper using the equations. For 2y= 3x , use the equation y= 3x/2 to draw the line.
Then you just have to read the coordinates to have the coordinates of the vertices.
I still think ind23's method is faster, but it is important to visualize geometry problems as it makes it easier to answer.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [0]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   13 Apr 2014, 06:35
Expert Reply
rxn wrote:
Q: What is the area of the triangle formed by lines y=5−x, 2y=3x, and y=0?

Having trouble understanding the best approach to calculating vertices of the triangle which are given as follows:

(0,0)
(5,0)
(2,3)

Can anyone explain the best approach for calculating these? I'm fine with calculating the area once I have the vertices.

Thanks.


Merging similar topics. Please refer to the discussion above.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 1, 2, 3, 7 and 8. Thank you.
User avatar
S
OreoShake
Manager
Manager
Joined: 23 Jan 2016
Posts: 139
Own Kudos [?]: 81 [0]
Given Kudos: 509
Location: India
GPA: 3.2
Send PM
GMAT ToolKit User
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   15 Oct 2016, 13:14
Bunuel wrote:
abhi758 wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.


We have three equations of lines: \(y_1=0\) (x-axis), \(y_2=\frac{3x}{2}\), \(y_3= 5-x\).

Equate the functions to get the x-coordinate of the vertex (x-coordinate of the intersection point) and then substitute this value in either of functions to get y-coordinate of the vertex.

First vertex: \(y_1=0=y_2=\frac{3x}{2}\) --> \(x=0\), \(y=0\) --> \(vertex_1=(0,0)\);
Second vertex: \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);
Third vertex: \(y_2=\frac{3x}{2}=y_3=5-x\) --> \(x=2\), \(y=3\) --> \(vertex_3=(2,3)\).

\(Base=5\), \(Height=3\) --> \(Area=\frac{1}{2}*Base*Height=7.5\).

Answer: A.


Hi Bunuel,

Please help me solidify the understanding for this - the reason you equated the line equations is because intersecting lines have the same slope right? Thank you.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618584 [1]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   16 Oct 2016, 02:51
1
Kudos
Expert Reply
TheLordCommander wrote:
Bunuel wrote:
abhi758 wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.


We have three equations of lines: \(y_1=0\) (x-axis), \(y_2=\frac{3x}{2}\), \(y_3= 5-x\).

Equate the functions to get the x-coordinate of the vertex (x-coordinate of the intersection point) and then substitute this value in either of functions to get y-coordinate of the vertex.
First vertex: \(y_1=0=y_2=\frac{3x}{2}\) --> \(x=0\), \(y=0\) --> \(vertex_1=(0,0)\);
Second vertex: \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);
Third vertex: \(y_2=\frac{3x}{2}=y_3=5-x\) --> \(x=2\), \(y=3\) --> \(vertex_3=(2,3)\).

\(Base=5\), \(Height=3\) --> \(Area=\frac{1}{2}*Base*Height=7.5\).

Answer: A.


Hi Bunuel,

Please help me solidify the understanding for this - the reason you equated the line equations is because intersecting lines have the same slope right? Thank you.


No, we are equating to get the x-intercept of the point of intersection.
User avatar
L
dave13
VP
VP
Joined: 09 Mar 2016
Posts: 1160
Own Kudos [?]: 1017 [0]
Given Kudos: 3851
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   Updated on: 20 May 2018, 06:58
Bunuel wrote:
abhi758 wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

Show Spoiler
The vertices of the triangle formed are (0,0), (5,0) and (2,3)


The first two vertices are fine, but how do we arrive at the third vertice of (2,3)? Since the equation for the third line is y = 0x + 0 / y = 0 it should be a horizontal line. Look forward to any explanations.


We have three equations of lines: \(y_1=0\) (x-axis), \(y_2=\frac{3x}{2}\), \(y_3= 5-x\).

Equate the functions to get the x-coordinate of the vertex (x-coordinate of the intersection point) and then substitute this value in either of functions to get y-coordinate of the vertex.

First vertex: \(y_1=0=y_2=\frac{3x}{2}\) --> \(x=0\), \(y=0\) --> \(vertex_1=(0,0)\);
Second vertex: \(y_1=0=y_3=5-x\) --> \(x=5\), \(y=0\) --> \(vertex_2=(5,0)\);
Third vertex: \(y_2=\frac{3x}{2}=y_3=5-x\) --> \(x=2\), \(y=3\) --> \(vertex_3=(2,3)\).

\(Base=5\), \(Height=3\) --> \(Area=\frac{1}{2}*Base*Height=7.5\).

Answer: A.



hi Bunuel

i really dont get your solution so we have this y = 5-x, 2y = 3x, and y = 0 and we have these coordinaty geometry map with x and y axis

y = 5-x, so i plugged in this 2y = 3x --> x = 2y/3 into this y = 5-x and got y = 3 so i have y= 3 and x =2


hence y is height and x is basis ---> y = 3 and x = 2 i am sure you can visualize my wring solution :)

area (3*2)/2 = 3 :?

pushpitkc - help pls:)

why are solving in a totally different way:? are quant gmatclub tests harder than the quant on gmat exam ?

Originally posted by dave13 on 20 May 2018, 06:37.
Last edited by dave13 on 20 May 2018, 06:58, edited 1 time in total.
User avatar
L
NandishSS
Director
Director
Joined: 06 Jan 2015
Posts: 738
Own Kudos [?]: 1586 [1]
Given Kudos: 579
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE:Information Technology (Computer Software)
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   20 May 2018, 06:47
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

For line 2
2y = 3x ==> y=3/2x

If x = 0, y=3/2(0) ==> 0
y=0 , x=0

Where Am'I going wrong? chetan2u, VeritasPrepKarishma , Bunuel , mikemcgarry
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14816
Own Kudos [?]: 64882 [0]
Given Kudos: 426
Location: Pune, India
Send PM
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink] New post   20 May 2018, 20:15
Expert Reply
NandishSS wrote:
What is the area of the triangle formed by lines y = 5-x, 2y = 3x, and y = 0?

a. 7.5
b. 8.0
c. 9.0
d 10.5
e. 15.0

For line 2
2y = 3x ==> y=3/2x

If x = 0, y=3/2(0) ==> 0
y=0 , x=0

Where Am'I going wrong? chetan2u, VeritasPrepKarishma , Bunuel , mikemcgarry


I am not sure why you think you are going wrong.

Given 2y = 3x, we get y = (3/2)x + 0 (to put it in the y = mx + c form)
This just means that it is a line with slope 1.5 and y intercept 0. So it must pass through the origin (which you got as - if x = 0 then y = 0)

y = 0 is the equation of the x axis. So we know that these two lines intersect at the origin. So it is one of the three vertices of the triangle.

Similarly, now we find where the third line intersects these two lines to get the other two vertices of the triangle.
GMAT Club Bot
gmatclubot
Re: What is the area of the triangle formed by lines y = 5-x, 2y [#permalink]
20 May 2018, 20:15
 1   2   
Moderators:
Bunuel
Math Expert
92882 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions