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(x + 3)(y − 4) = 0

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(x + 3)(y − 4) = 0 [#permalink] New post 27 Jan 2016, 16:10
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(x + 3)(y − 4) = 0

Quantity A
Quantity B
xy
−12


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.




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Re: (x + 3)(y − 4) = 0 [#permalink] New post 27 Jan 2016, 16:14
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Solution

At a first look, the question seems easy, but iondeed it is misleading and tricky

For two numbers beaing equal to zero one or both must be zero. From this, we do know that \(X=-3\) and \(Y=4\) or both.

Which means that if x=-3 y can take any value, ad the other way around. Or they can be just -3 and 4 AND from this we do have the same quantity -12.

You do have different answers.

The answer is \(D\)
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Re: (x + 3)(y − 4) = 0 [#permalink] New post 19 Nov 2017, 11:40
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Carcass wrote:
(x + 3)(y − 4) = 0

Quantity A
Quantity B
xy
−12


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.




Given: (x + 3)(y − 4) = 0
This tells us that EITHER x = -3 OR y = 4

So, for example, if x = -3 and y = ANY number, the equation (x + 3)(y − 4) = 0 holds true.

So, one possible solution to the equation (x + 3)(y − 4) = 0 is x = -3 and y = 0
We get:
QUANTITY A: xy = (-3)(0) = 0
QUANTITY B: -12
In this case QUANTITY A is greater

Another possible solution to the equation (x + 3)(y − 4) = 0 is x = -11 and y = 4
We get:
QUANTITY A: xy = (-11)(4) = -44
QUANTITY B: -12
In this case QUANTITY B is greater

Another possible solution to the equation (x + 3)(y − 4) = 0 is x = -3 and y = 4
We get:
QUANTITY A: xy = (-3)(4) = -12
QUANTITY B: -12
In this case QUANTITY A = QUANTITY B

Answer: D

Cheers,
Brent
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Re: (x + 3)(y − 4) = 0 [#permalink] New post 01 Mar 2018, 04:42
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It's a good question.

According to the question,
EITHER x + 3 = 0 or y - 4 = 0 or both equals 0.

So EITHER x = -3 or y = 4 or both possible.

We need an exact values of both x and y, but here if x = -3, then y can be used infinite values to satisfy the equation (x + 3)(y − 4) = 0

Similarly, if y = 4 is used, then x can be used infinite values to satisfy the equation (x + 3)(y − 4) = 0


So, Answer D is correct.
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Re: (x + 3)(y − 4) = 0 [#permalink] New post 02 Mar 2018, 05:00
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This is deffinatelly meant to trick people.

You basically have two terms being multiplied by each ther that equal zero. For this to be true, at least ONE OF THE TERMS HAS TO BE ZERO. For that to occur, either x = -3 or y = 4. Since only one term needs to be zero, the other term and its variable can litterally be anything. You hence have no way of knowing what one of the variables will be.
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Re: (x + 3)(y − 4) = 0 [#permalink] New post 02 Mar 2018, 19:29
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(x + 3)(y − 4) = 0
this equation equals 0 just when :
x = -3 and y = whatever or x = whatever and y = 4
so xy can be -3y or 4x while x or y can be whatever and thus they can be less or more or equal to -12. so the correct answer is D.

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Re: (x + 3)(y − 4) = 0 [#permalink] New post 03 Mar 2018, 23:45
yeah good question for those who just consume concepts without noticing logic behind them.
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Re: (x + 3)(y − 4) = 0   [#permalink] 03 Mar 2018, 23:45
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