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If 3x – 2y = 8, then 4y – 6x is

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If 3x – 2y = 8, then 4y – 6x is [#permalink]

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New post 02 Nov 2017, 01:38
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A
B
C
D
E

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  15% (low)

Question Stats:

70% (00:40) correct 30% (00:31) wrong based on 73 sessions

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Re: If 3x – 2y = 8, then 4y – 6x is [#permalink]

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New post 02 Nov 2017, 11:24
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3x-2y=8

If you look at the equation 4y - 6x carefully you will notice that it can be simplified into the 3x-2y form

4y-6x = 2(2y-3x)

We know that 3x-2y=8 hence 2y-3x=-8

= 2(-8) = -16

Hence the answer is A.
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If 3x – 2y = 8, then 4y – 6x is [#permalink]

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New post 02 Nov 2017, 11:28
Bunuel wrote:
If 3x – 2y = 8, then 4y – 6x is

(A) –16
(B) –8
(C) 8
(D) 16
(E) cannot be determined

3x - 2y = 8 .............(1)

4y - 6x = ? .............(2)
(-2)(-2y + 3x)
(-2)(3x - 2y) = ? .......(3)

(3x - 2y) = 8, substitute in (3)

(-2)(8) = -16

Answer A, IMO
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Re: If 3x – 2y = 8, then 4y – 6x is [#permalink]

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New post 05 Nov 2017, 07:25
Bunuel wrote:
If 3x – 2y = 8, then 4y – 6x is

(A) –16
(B) –8
(C) 8
(D) 16
(E) cannot be determined


4y - 6x = -6x + 4y = -2(3x - 2y) = -2(8) = -16

Answer: A
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Re: If 3x – 2y = 8, then 4y – 6x is   [#permalink] 05 Nov 2017, 07:25
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