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Question

Given that, x+y=0, 3x2y=10
Which of the following ordered pairs (x,y) satisfies the system of equations above?

A
(3,2)
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B
(2,2)
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C
(2,2)
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D
(2,2)
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Solution

The correct option is B (2,2)
Two straight lines intersect at a point.
Solving the two given equations, we get
x+y=0...(1)
3x2y=10...(2)
Multiplying equation (1) by 2 and adding equations (1) and (2),
2x+3x=10
5x=10 or x=2
Substituting x=2 in equation (1), we get y=x=2.

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