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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, 02:38
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (00:48) correct 20% (01:08) wrong based on 87 sessions

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

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New post 02 Nov 2017, 12:24
1
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, 12:28
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, 08:25
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 &nbs [#permalink] 05 Nov 2017, 08:25
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