Question

Use elimination method for solving the following equations:
$2x+y=0$, $3x-y=-5$

Answer 1

Given equations are

$2x+y=0$ ....(1)

and $3x-y=-5$

Add both the equations to eliminate $y$, we get

$5x=-5$

$\Rightarrow x=-1$

substitute this value of $x$ in equation (1),

$2(-1)+y=0$

$\Rightarrow -2+y=0$

$\Rightarrow y=2$

Therefore, the solution is $x=-1,y=2$.