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Question

Solve:
x+y=7xy
2x−3y=−xy

A
x=18 and y=14
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B
x=17 and y=14
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C
x=12 and y=14
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D
x=13 and y=14
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Solution

The correct option is D x=13 and y=14
Given equations are
x+y=7xy ....(1)
and 2x3y=xy ....(2)
Multiply equation (1) by 3, we get
3x+3y=21xy ....(3)
Add equations (2) and (3),
5x=20xy
y=14
Put this value in equation (1), we get
x+14=7x×14
x7x4=14
3x4=14
x=13
Therefore, solution is x=13,y=14.

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