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# At what point on the coordinate plane do the lines y=2x+3 and y=4x−5

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Math Expert
Joined: 02 Sep 2009
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At what point on the coordinate plane do the lines y=2x+3 and y=4x−5  [#permalink]

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14 Feb 2018, 23:40
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5% (low)

Question Stats:

92% (01:03) correct 8% (01:16) wrong based on 85 sessions

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At what point on the coordinate plane do the lines y = 2x + 3 and y = 4x − 5 intersect?

A. (2, 8)
B. (2, 11)
C. (4, 8)
D. (4, 11)
E. (8, 8)

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Re: At what point on the coordinate plane do the lines y=2x+3 and y=4x−5  [#permalink]

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14 Feb 2018, 23:59
1
Bunuel wrote:
At what point on the coordinate plane do the lines y = 2x + 3 and y = 4x − 5 intersect?

A. (2, 8)
B. (2, 11)
C. (4, 8)
D. (4, 11)
E. (8, 8)

To know the point of intersection just solve the equations

y = 2x + 3 and y = 4x − 5

4x − 5 = 2x + 3

x=4

Eliminate A, B & E

Sub x=4 in one of the equ

y=11

Hence D
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Re: At what point on the coordinate plane do the lines y=2x+3 and y=4x−5  [#permalink]

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15 Feb 2018, 00:01
Bunuel wrote:
At what point on the coordinate plane do the lines y = 2x + 3 and y = 4x − 5 intersect?

A. (2, 8)
B. (2, 11)
C. (4, 8)
D. (4, 11)
E. (8, 8)

Ans :: solving simultaneous equation

y = 2x + 3
y = 4x − 5

we get X= 4 and Y= 11
so the answer is D .
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Re: At what point on the coordinate plane do the lines y=2x+3 and y=4x−5  [#permalink]

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20 Feb 2018, 06:29
at the point of intersection, both lines share the same coordinates, when they intersect each other

so equating the 2 equation we get

2x + 3 = 4x - 5

which implies

x= 4, and y = 11

thanks
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Re: At what point on the coordinate plane do the lines y=2x+3 and y=4x−5  [#permalink]

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22 Feb 2018, 09:13
Bunuel wrote:
At what point on the coordinate plane do the lines y = 2x + 3 and y = 4x − 5 intersect?

A. (2, 8)
B. (2, 11)
C. (4, 8)
D. (4, 11)
E. (8, 8)

When two lines intersect, their x- and y-values are equal. First, let’s set the equations equal to each other, and we have:

2x + 3 = 4x - 5

8 = 2x

4 = x

When x = 4, y is:

2(4) + 3 = 11

So the lines intersect at (4, 11).

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Re: At what point on the coordinate plane do the lines y=2x+3 and y=4x−5   [#permalink] 22 Feb 2018, 09:13
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