Answer
$(-1,3)$
Work Step by Step
$5x+y=-2$ Equation $(1)$
$4x-2y=-10$ Equation $(2)$
Multiply Equation $(1)$ by $2$ and add with Equation $(2)$
$2(5x+y)+4x-2y=2(-2)-10$
$10x+2y+4x-2y=-4-10$
$14x=-14$
$x=-1$
Substituting $x$ value in Equation $(1)$
$5x+y=-2$
$5(-1)+y=-2$
$-5+y=-2$
$y=-2+5$
$y=3$
Solution: $(-1,3)$
