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Question

Solve the following pair of linear equations.

2x+3y=2

4x9y=1

Here, x > 0 and y > 0.


A

x = 9, y = 8

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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 given pair of equations is not linear. We will assume 1x is u2 and 1y is v2 then we will get the equation as

2u+3v=2

4u9v=1

We will use method of elimination to solve the equations.
On multiplying the first equation by 3 and we get

6u+9v=6

and we have equation (2) i.e. 4u9v=1

Adding the above two equations, we get

10u=5

u=12

Substituting u in equation 4u9v=1 we get v=13

Now x=1u2=1(12)2=4

Similarly, y=1v2=1(13)2=9


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