Question

Solve the following by elimination method:

$2x+y=6$ and $x-2y=-2$

Answer 1

Given, equations are

$2x+y=6$ ....(1)

and $x-2y=-2$ .....(2)

Multiply $2$ with equation (1), we get

$4x+2y=12$ ....(3)

Add equations (2) and $3$,

$5x=10$

$\Rightarrow x=2$

Now, put this value in equation (1),

$2\left(2\right)+y=6$

$\Rightarrow 4+y=6$

$\Rightarrow y=2$

Therefore, the solution is $x=2,y=2$.