Chapter 3 Linear Systems and Matrices - 3.2 Solve Linear Systems Algebraically - 3.2 Exercises - Quiz for Lessons 3.1-3.2 - Page 167: 1

$$y=5,\:x=2$$

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: $$\frac{11-y}{3}-2y=-8 \\ y=5$$ Thus: $$x=\frac{11-5}{3}=2$$