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flower07
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I marked E since we are getting 2 values of y(3,-4) even after combining both the equations.
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flower07
What is y?

(1) x - y = 1
(2) xy = 12

I understand the question but my doubt however is:
The MGMAT Guide says,
Quote:
Even when the equations are combined, they do not provide enough information to find y, and the
answer is (E).
. I do not understand why it says that because when I combine both the equations, I get a quadratic equation. I solve it and I get two answers y = -4 or y = 3. So, my take is using both the equations I am able to find the value of y. So, why is the correct answer E and why not C? Thank you!

You just have to pay attention to the mild trap this question is baiting you into - it wants to make sure you are remembering the commutative instead of making assumptions. For example,

(4)3= 12
4-3 = 1

BUT

-3(-4)=12
-3 --4= 1
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flower07
What is y?

(1) x - y = 1
(2) xy = 12

I understand the question but my doubt however is:
The MGMAT Guide says,
Quote:
Even when the equations are combined, they do not provide enough information to find y, and the
answer is (E).
. I do not understand why it says that because when I combine both the equations, I get a quadratic equation. I solve it and I get two answers y = -4 or y = 3. So, my take is using both the equations I am able to find the value of y. So, why is the correct answer E and why not C? Thank you!

Nice trick here...classic "C" trap

St 1

x-y =1 - clearly too many possibilities

insuff

St 2

xy = 12

clearly too many possibilities

insuff


St 1 and St 2

This question wants you to assume that the answer should be 4 and 3...however the answer can also be -3 and -4


E
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