Answer
(-5,5)
Work Step by Step
Add the 2 equations.
$\ \ 2x+5y=15$ multiply both sides by -1
$\underline{\ \ 7x+5y=-10}$
$\ \ -2x-5y=-15$
$\underline{\ \ \ \ \ \ \ 7x+5y=-10}$
$\ \ \ \ \ \ \ 5x\ \ \ \ \ \ \ \ \ =-25$ divide both sides by 5
$\ \ \ \ \ \ \ \ \ x\ \ \ \ \ \ \ \ \ =\ -5$
Substitute and solve for y.
$2x+5y=15$
$2(-5)+5y=15$
$-10+5y=15$
$-10+5y+10=15+10$
$5y=25$
$5y\div5=25\div5$
$y=5$
