Question

Solve by elimination method :
$2x+5y=12$
$7x+3y=13$

Answer 1

$2x+5y=\mathrm{12........}\left(1\right)$

$7x+3y=\mathrm{13.........}\left(2\right)$

Multiply equation $\left(1\right)$ with $3$ and multiply equation $\left(2\right)$ with $5$

$6x+15y=36$

$35x+15y=65$

$-29x=-29$

$x=1$

$x=1$ value substitute with equation $\left(1\right)$

$2\left(1\right)+5y=12$

$2+5y=12$

$y=2$