If -3 x+4 y=28 and 3 x-2 y=8, what is the product of x and y ?

GMAT Quantitative Reasoning Practice Test 5

Question : 21 of 100

Marks: +1, -0

-3 x+4 y=28

and

3 x-2 y=8

, what is the product of

x

and

y

Solution:

We can notice that adding both equations gives:

2 y=36

thus

y=18

.
From one of the equations we can receive:

x=44 / 3

, so the answer is

18 × 44 / 3=6 × 44=264

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