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2x - 3y = -8

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2x - 3y = -8 [#permalink] New post 22 Mar 2018, 10:38
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2x - 3y = -8
xy = 0


Quantity A
Quantity B
x
y


A) The quantity in Column A is greater.
B) The quantity in Column B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Last edited by Carcass on 26 Mar 2018, 11:03, edited 1 time in total.
Edited the OA
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Re: 2x - 3y = -8 [#permalink] New post 22 Mar 2018, 16:22
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Answer: B
2x - 3y = -8
xy= 0
When xy = 0, either x is 0 or y is 0.
x = 0, 2x - 3y = -8, y = 8/3 (x = 0 and y = 8/3)
y= 0, 2x -3y = -8, x = -4 (x = -4 and y = 0)
In both situations y is bigger than x.

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Re: 2x - 3y = -8 [#permalink] New post 22 Mar 2018, 18:04
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At first glance, this looks like it'll turn into an ugly quadratic equation. Since quadratic tend to give two possible answers, it's tempting to just answer D, and that would be a good guess, but it's not a guarantee, so it's safer to check. And this equation is a quadratic, but since xy = 0, it should be easy to deal with.

If xy = 0, we know that either x or y is 0. Let's try both and see what happens. If x = 0, then plugging that into the first equation gives us:

-3y = -8

So y = 8/3. Since x was 0, y is larger.

But let's check to see what happens if y = 0. Plugging that in to the second equation would give us:

2x = -8

So x = -4. Since y was 0, y is still larger. So in both cases, the answer is B. I know that the answer says it's A, but the answer appears to be a typo.
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Re: 2x - 3y = -8 [#permalink] New post 26 Mar 2018, 09:36
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The OA is choice B. Here's how:

According to the given condition, either x or y must be 0, but not both.

If x = 0, then y must be positive in order to get -8 result. Thus, y > x
If y = 0, then x must be negative in order to get -8 result. Thus, again y > x

Therefore,
Choice B is correct.
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Re: 2x - 3y = -8 [#permalink] New post 26 Mar 2018, 11:03
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Yes, the answer is B.

y=8/3 and x=0

Y > X
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Re: 2x - 3y = -8   [#permalink] 26 Mar 2018, 11:03
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