Solve this two linear equations. 2x+3y=5 4x+7y=9

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`2x+y = 5 ----(1)`

`4x+7y = 9 ---(2)`

In this type of questions we have to eliminate one unknown by modifying the equations.

Let us remove x term from (1) and (2).


`(1)xx2`

`4x+2y = 10 ----(1)'`

`(1)'-(2)`

`(4x+2y)-(4x+7y) = 10-9`

`4x+2y-4x-7y = 1`

`-5y = 1`

`y = -1/5`

From (1) we can say;

`2x+y = 5 `

`2x-1/5 = 5`

`2x = 5+1/5`

`x = 13/5`

So the answers are x = 13/5 and y = -1/5

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