Question

Solve: $7x-2y=20$

$11x+15y+23=0$

Answer 1

Consider the given equations.

$7x-2y=20$ ………(1)

$11x+15y=-23$ ……..(2)

From equation (1), we get

$\Rightarrow y=\frac{7x-20}{2}$

On putting value of $y$ in equation $\left(2\right)$, we get

$\Rightarrow 11x+15\left(\frac{7x-20}{2}\right)=-23$

$\Rightarrow 11x+\frac{105x}{2}-150=-23$

$\Rightarrow \frac{127x}{2}=127$

$\Rightarrow x=2$

Therefore,

$\Rightarrow y=\frac{7\times 2-20}{2}$

$\Rightarrow y=-3$

Hence, the value of $x$ and $y$ is $2,-3$.