Question

solve the following:
$5x-3y=2$
$4x-7y=-3$

Answer 1

$5x-3y=2---\left(1\right)$

$4x-7y=-3---\left(11\right)$

$\left(1\right)\times 4-\left(11\right)\times 5$

$20x-12y=8$

$20x-35y=-15$

$-+=+$

--------------------------

$23y=23$

$y=1$

so $x=\frac{2+3y}{5}=\frac{5}{5}=1$