## Algebra 1

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. $2x-2(5)=-8$ $2x-10+10=-8+10$ $2x=2$ $2x\div2=2\div2$ $x=1$