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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!

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 got two possible values of y, which means that you don't know which one must be y (only one value counted!). The answer should be E

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!

When a DS question asks about the value of some variable, then the statement is sufficient ONLY if you can get the single numerical value of this variable.

Since you get TWO possible values of y, the statements are not sufficient.

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,

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