If \(y = 3x + 2\) and \(y = - 4 - 6x\) what is the value of \(y?\) - The Beat The GMAT Forum

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If \(y = 3x + 2\) and \(y = - 4 - 6x\) what is the value of \(y?\)

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

If \(y = 3x + 2\) and \(y = - 4 - 6x\) what is the value of \(y?\)

by Vincen » Tue Sep 08, 2020 7:16 am

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If \(y = 3x + 2\) and \(y = - 4 - 6x\) what is the value of \(y?\)

(A) \(-\dfrac23\)
(B) \(0\)
(C) \(2\)
(D) \(8\)
(E) \(16\)

Answer: B

Source: GMAT Paper Tests

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Source: Beat The GMAT — Problem Solving | Tue Sep 08, 2020 7:16 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: If \(y = 3x + 2\) and \(y = - 4 - 6x\) what is the value of \(y?\)

by Scott@TargetTestPrep » Fri Sep 11, 2020 1:18 pm

Vincen wrote: ↑
Tue Sep 08, 2020 7:16 am
If \(y = 3x + 2\) and \(y = - 4 - 6x\) what is the value of \(y?\)

(A) \(-\dfrac23\)
(B) \(0\)
(C) \(2\)
(D) \(8\)
(E) \(16\)

Answer: B

Source: GMAT Paper Tests

Solution:

Setting 3x + 2 equal to -4 - 6x (since they both are equal to y), we have:

3x + 2 = -4 - 6x

9x = -6

x = -6/9 = -2/3

Since y = 3x + 2, then y = 3(-2/3) + 2 = -2 + 2 = 0. (Or, since y = -4 - 6x, then y = -4 - 6(-2/3) = -4 + 4 = 0.)

Answer: B

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