Chapter 3 Linear Systems and Matrices - 3.2 Solve Linear Systems Algebraically - 3.2 Exercises - Quiz for Lessons 3.1-3.2 - Page 167: 2

$$y=1,\:x=-3$$

Recall, if we were to graph the equation, we would find the intersection of the two lines to find the solution. Solving the equation using substitution, we find: $$-\frac{-5-y}{2}+3y=6 \\ y=1$$ Thus: $$x=\frac{-5-1}{2}=-3$$