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Question

Solve the following pair of linear equations:
2x+3y=2
4x9y=1
(Where x>0,y>0)


A

x=9,y=4

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B

x=4,y=9

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C

x=3,y=2

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D

x=12,y=13

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Solution

The correct option is B

x=4,y=9


The pair of equations are not linear. We will substitute
1x as u2 and 1y as v2 (As x>0,y>0)
Then we will get the equations as
2u+3v=2
4u9v=1
We will use method of elimination to solve the equation
6u+9v=6
4u9v=1
Adding the above two equations
u=12
Substituting u in above equations, we get v=13
So x=1u2=4
y=1v2=9


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