Answer
(1,5)
Work Step by Step
Multiply the second equation by -1. Add the equations to eliminate x.
$2x+4y=22\ \ \ \ $multiply by -1$\ \ \ \ -2x-4y=-22$
$2x-2y=-8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{2x-2y=-\ \ 8}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6y=-30$
Solve for y.
$-6y=-30$
$-6y\div-6=-30\div-6$
$y=5$
Substitute 5 for y in either equation. Solve for x.
$2x-2(5)=-8$
$2x-10+10=-8+10$
$2x=2$
$2x\div2=2\div2$
$x=1$
