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y in the system

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by sanju09 » Wed Sep 15, 2010 12:59 am
x + 2 y + 3 z = 2

x + y - z = 0

2 x + 2 y - z = 1


What is the value of y in the system above?
(A) -2
(B) -1
(C) 0
(D) 1
(E) 24



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by Rahul@gurome » Wed Sep 15, 2010 5:23 am
x + y - z = 0 implies 2x + 2y = 2z, put this value of 2x + 2y in 2 x + 2 y - z = 1 implies 2z - z = 1 or z = 1
Solving x + 2y = -1 and x + y = 1, we get y = -2

The correct answer is [spoiler](A)[/spoiler].
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