Answer
$(2,4,-3)$
Work Step by Step
Step 1. Multiply $-2$ to the first equation and add to the second: $16y-3z=73$
Step 2. Multiply $-3$ to the first equation and add to the third: $16y+5z=49$
Step 3. Take the difference between the above two equations: $8z=-24$, thus $z=-3$
Step 4. Solve by back-substitution: $y=4, x=2$
Step 5. Thus, the solution to the system is $(2,4,-3)$