## Algebra 1: Common Core (15th Edition)

After multiplying the equations so you are able to eliminate the Y-value you have:18x+y=102 and 21x+y=117. Subtract the equations to be able to combine them: 18x+y=102 21x+y=117 -3x=-15 -divide both sides by -3- x=5 Plug in x=5 into one of the equations: 9(5)+$\frac{1}{2}$y=51 45+$\frac{1}{2}$y=51 $\frac{1}{2}$y=6 y=12 You have one solution (5,12).