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04 May 2019, 12:29
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43% (02:37) correct
57%
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wrong
based on 165
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If |x| + x + y = 8
and x + |y| - y = 14
Then what is the value of (x+y)
A. 22
B. 12
C. 2
D. 6
E. 15
and x + |y| - y = 14
Then what is the value of (x+y)
A. 22
B. 12
C. 2
D. 6
E. 15
04 May 2019, 18:31
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nick1816
If |x| + x + y = 8
and x + |y| - y = 14
Then what is the value of (x+y)
A. 22
B. 12
C. 2
D. 6
E. 15
and x + |y| - y = 14
Then what is the value of (x+y)
A. 22
B. 12
C. 2
D. 6
E. 15
When x>0 and y<0, we have |x|=x and |y|=-y.
(1) |x| + x + y = 8 or 2x+y=8
(2) x + |y| - y = 14 or x-2y=14
Solving eq(1) and (2), we have x=6 and y=-4.
Therefore, x+y=6+(-4)=2
Ans. (C)
04 May 2019, 19:36
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Before solving this we need to check positive/ negative nature of x and y. If we consider x as negative value and put in equation 1 then it will give y as positive and if we compare those values in equation 2 then it will contradict our assumption. So x is positive and y is negative satisfies the signs of the variables in equation 1 and 2. We can solve the equations after that.
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