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# If y = 4x + 10 and y = 7x – 5, what is the value of y?

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If y = 4x + 10 and y = 7x – 5, what is the value of y? [#permalink]  20 Jul 2018, 11:45
Expert's post
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Question Stats:

87% (00:22) correct 12% (01:02) wrong based on 24 sessions
If $$y = 4x + 10$$ and $$y = 7x - 5$$, what is the value of y?

[Reveal] Spoiler: OA
30

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GRE Instructor
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Kudos [?]: 4471 [1] , given: 69

Re: If y = 4x + 10 and y = 7x – 5, what is the value of y? [#permalink]  08 Aug 2018, 14:44
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Expert's post
Carcass wrote:
If $$y = 4x + 10$$ and $$y = 7x - 5$$, what is the value of y?

[Reveal] Spoiler: OA
30

Since both equations are set equal to y, we can write: 4x + 10 = 7x - 5
Subtract 4x from both sides: 10 = 3x - 5
Add 5 to both sides: 15 = 3x
Solve: x = 5

Now that we know the value of x, we can take either equation (y = 4x + 10 or y = 7x - 5) and replace x with 5 to determine the value of y
So, take y = 4x + 10
Replace x with 5 to get: y = 4(5) + 10 = 20 + 10 = 30

Cheers,
Brent
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Intern
Joined: 10 Jun 2018
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Kudos [?]: 20 [1] , given: 4

Re: If y = 4x + 10 and y = 7x – 5, what is the value of y? [#permalink]  10 Aug 2018, 15:45
1
KUDOS
As Y = 4X + 10 = 7X - 5
we find 15 = 3X
Or, X = 5.
so from the eqn we find Y = 30.
Re: If y = 4x + 10 and y = 7x – 5, what is the value of y?   [#permalink] 10 Aug 2018, 15:45
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