Chapter 5, Systems of Equations and Inequalities - Section 5.1 - Systems of Linear Equations in Two Variations - 5.1 Exercises - Page 446: 31

(6, -6)

Add both equations to each other $-\frac{1}{3}x - \frac{1}{6}y = -1$ $\frac{2}{3}x + \frac{1}{6}y = 3$ $\frac{1}{3}x = 2$ x = 6 Plug x = 6 into $-\frac{1}{3}x - \frac{1}{6}y = -1$ $-\frac{1}{3}6 - \frac{1}{6}y = -1$ $-2 - \frac{1}{6}y = -1$ $-\frac{1}{6}y = 1$ y = -6 Solution is (6, -6)