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If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in

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Bunuel
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If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in [#permalink] New post   22 Aug 2018, 01:44
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If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in terms of x?

A. −2x/3
B. −3x/2
C. −3x^2/2
D. 2x/3
E. 3x/2
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Re: If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in [#permalink] New post   22 Aug 2018, 01:53
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Bunuel wrote:
If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in terms of x?

A. −2x/3
B. −3x/2
C. −3x^2/2
D. 2x/3
E. 3x/2


Given, 3xm + 2ym - 2yn - 3xn = 0
Or, 2ym - 2yn+3xm-3xn=0
Or, 2y(m-n)+3x(m-n)=0
Or, (m-n)(2y+3x)=0

m≠n so, m-n≠0
Therefore 2y+3x must be equal to zero
Or, 2y+3x=0
Or, 2y=-3x
Or, y=−3x/2

Ans. (B)
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If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in [#permalink] New post   24 Feb 2020, 13:17
Not sure if this is efficient for similar questions, but I approached the method as follows:
- Assigned values to the variables to find Y, then tested the answer choices
- X = 2, M = 1, N = 3

- 3xm + 2ym - 2yn - 3xn = 0 and m≠n: - >
- 3 * 2 * 1 + 2Y(1) - 2Y(3) - 3*2*3 = 0
- 6 + 2Y - 6Y - 18 = 0
- (- 12) - 4Y = 0
- (-12) = 4Y
- y = -3

When plugging the values back into the answer choices only B gives Y = -3
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hotpotatoz
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Re: If 3xm + 2ym - 2yn - 3xn = 0 and mn , then what is the value of y in [#permalink] New post   15 Mar 2022, 01:30
Hey, really unsure if this way is plausible, so please let me know:

3xm + 2ym - 2yn - 3xn = 0 ->
3xn -3xm = 2ym - 2yn
3x* (n-m) = y* (2m-2n)
y = (3x*(n-m)) / 2*(m-n) |*(-1)
-y= 3x*(m-n)/2*(m-n)
y=-(3x/2) -> b
:)
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gmatclubot
Re: If 3xm + 2ym - 2yn - 3xn = 0 and mn , then what is the value of y in [#permalink]
15 Mar 2022, 01:30
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