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# If y is different from zero

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If y is different from zero [#permalink]  03 Sep 2019, 09:59
Expert's post
00:00

Question Stats:

85% (00:06) correct 14% (01:05) wrong based on 7 sessions
If $$y \neq 0$$ and $$2x+y=12$$, then which of the following is NOT a possible value of x?

(A) 12

(B) 10

(C) 8

(D) 6

(E) 4
[Reveal] Spoiler: OA

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GRE Instructor
Joined: 10 Apr 2015
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Re: If y is different from zero [#permalink]  04 Sep 2019, 09:11
1
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Expert's post
Carcass wrote:
If $$y \neq 0$$ and $$2x+y=12$$, then which of the following is NOT a possible value of x?

(A) 12

(B) 10

(C) 8

(D) 6

(E) 4

USEFUL (and often-tested) FRACTION PROPERTY: $$\frac{a-b}{c}=\frac{a}{c}-\frac{b}{c}$$

GIVEN: $$2x+y=12$$

Subtract y from both sides to get: $$2x=12-y$$

Divide both sides by 2 to get: $$x=\frac{12-y}{2}$$

Apply above PROPERTY to rewrite right sides as follows: $$x=\frac{12}{2}-\frac{y}{2}$$

Simplify: $$x=6-\frac{y}{2}$$

Since $$y \neq 0$$, we can see that $$x \neq 6$$, since that would require that $$y=0$$

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: If y is different from zero [#permalink]  05 Sep 2019, 03:46
1
KUDOS
5 seconds to solve. Substitute y=0, you'll get the value of x that should not be true. x=6, D
Re: If y is different from zero   [#permalink] 05 Sep 2019, 03:46
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