Question

Find the solutions for the following pairs of equation and identify the common solution
$5x+3y=15$ and $5x+2y=10$

Answer 1

$5x+3y=15------\left(1\right)$

$5x+2y=10-------\left(2\right)$

Subtracting $\left(1\right)$ and $\left(2\right)$

$\therefore 3y-2y=15-10$

$\therefore y=5$

$\therefore x=0$

$(0,5)$ is a solution