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

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 pmFollowed by: 5 members; Thanked: 6 times

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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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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