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Question

Solve the equations using elimination method:
2x+y=2 and xy=4

A
(-2, -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)
Subtract equation 1 and 2,
2x+y=2 ----- (1)
xy=4 ----- (2)
___________
3x=6
x=63=2
Put the value of x in equation (1), we get
2x+y=2
2(2)+y=2
4+y=2
y=24
y=2
Therefore the solution is (2, -2)

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