Question

Solve each pair of equation by using the substitution method.
$x+3y=-1$
$2x-3y=12$

Answer 1

$x+3y=-1---\left(i\right)$

$2x-3y=12---\left(ii\right)$

From equation $\left(i\right)$, we get

$\Rightarrow x=-1-3---\left(iii\right)$

substituting value of $x$ in equation $\left(iii\right)$ we get

$2(-1-3y)-3y=12$

$\Rightarrow -2-6-3y=12$

$\Rightarrow 9y=14$

$\Rightarrow y=-\frac{14}{9}\Rightarrow x=-1+\frac{42}{9}$

$=\frac{11}{3}$