Chapter 5, Systems of Equations and Inequalities - Section 5.1 - Systems of Linear Equations in Two Variations - 5.1 Exercises - Page 446: 32

$x=8$ and $y = -2$

Multiplying the first equation by 6 and the second equation by 2 gives: $\frac{9}{2}x+3y=30$ $\frac{-1}{2}x-3y=2$ Adding two equations: $4x=32\Rightarrow x=8$ Solve for y:$\frac{9}{2}(8)+3y=30 \Rightarrow y = -2$