GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Dec 2019, 17:17

### 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

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

# If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the valu

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59730
If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the valu  [#permalink]

### Show Tags

04 Oct 2018, 00:33
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:51) correct 20% (02:39) wrong based on 44 sessions

### HideShow timer Statistics

If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the value of x/y?

(A) −1/2
(B) −1/3
(C) −1/6
(D) 1/3
(E) 1/2

_________________
VP
Joined: 31 Oct 2013
Posts: 1492
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the valu  [#permalink]

### Show Tags

04 Oct 2018, 00:42
Bunuel wrote:
If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the value of x/y?

(A) −1/2
(B) −1/3
(C) −1/6
(D) 1/3
(E) 1/2

x + y+ z = 2

3x + 3y + 3z = 6

3x + 3y + 3z = x + 2y + 3z

3x - x = 2y - 3y

2x = -y

x/y = -1 /2.

Director
Joined: 19 Oct 2013
Posts: 511
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the valu  [#permalink]

### Show Tags

04 Oct 2018, 01:39
Bunuel wrote:
If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the value of x/y?

(A) −1/2
(B) −1/3
(C) −1/6
(D) 1/3
(E) 1/2

Another way would be to substitute in the other equation.

Z = 2 - x - y

x + 2y + 3z = 6
x + 2y + 3(2 - x - y) = 6
x + 2y + 6 - 3x - 3y = 6

-2x - y = 0
-2x = y
-2 (x/y) = 1
(x/y) = - 1/2

Posted from my mobile device
Re: If x + y + z = 2, and x + 2y + 3z = 6 and y ≠ 0, then what is the valu   [#permalink] 04 Oct 2018, 01:39
Display posts from previous: Sort by