Chapter 8 - Systems of Linear Equations and Problem Solving - 8.4 Systems of Equations in Three Variables - 8.4 Exercise Set - Page 538: 23

$$w=-4,\:v=\frac{1}{2},\:u=3$$

Solving the system of equations using substitution, we find: $$ 5\cdot \frac{8+4\cdot \frac{-5w-12}{16}+w}{2}-2\cdot \frac{-5w-12}{16}+3w=2\\ w=-4\\ v=\frac{-5\left(-4\right)-12}{16} =\frac{1}{2} \\ u=\frac{8+4\cdot \frac{1}{2}-4}{2}=3$$