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

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GRE Prep Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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If y = 4x + 10 and y = 7x – 5, what is the value of y? [#permalink] New post 23 Jun 2018, 11:45
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100% (00:36) correct 0% (00:00) wrong based on 4 sessions
If \(y = 4x + 10\) and \(y = 7x - 5\), what is the value of y?

[Reveal] Spoiler: OA
30

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Sandy
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Re: If y = 4x + 10 and y = 7x – 5, what is the value of y? [#permalink] New post 01 Jul 2018, 21:48
sandy wrote:
If \(y = 4x + 10\) and \(y = 7x - 5\), what is the value of y?

[Reveal] Spoiler: OA
30


Here;

Let us multiply equation 1 with 7 = \((y = 4x + 10) * 7\) = \(7y = 28x + 70\)

multiply equation 2 with 4 = \((y = 7x - 5) * 4\) = \(4y = 28x - 20\)

Now subtracting both equation,
\(7y = 28x + 70\)
\(4y = 28x - 20\)
(-)_______________________

\(3y = 90\)
or \(y = 30\)
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GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 [0], given: 397

Re: If y = 4x + 10 and y = 7x – 5, what is the value of y? [#permalink] New post 16 Jul 2018, 06:59
Expert's post
Explanation

Since each equation is already solved for y, set the right side of each equation equal to the other.

\(4x + 10 = 7x - 5\)

\(10 = 3x - 5\)

\(15 = 3x\)

\(5 = x\)

Substitute 5 for x in the first equation and solve for y.

\(y = 4(5) + 10\)

\(y = 30\)

x = 5 and y = 30. Be sure to answer for y, not x.
_________________

Sandy
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Re: If y = 4x + 10 and y = 7x – 5, what is the value of y?   [#permalink] 16 Jul 2018, 06:59
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