Final answer:
To solve the system of equations using substitution, rearrange the second equation to isolate x. Substitute this expression for x into the other two equations to eliminate x. Simplify and solve the resulting equations to find the values of y and z.
Step-by-step explanation:
To solve the system of equations using substitution, let's start with the second equation. Rearrange it to isolate x: x = 15 + 3x - 2y.
Next, substitute this expression for x into the other two equations to eliminate x:
3(15 + 3x - 2y) + y + z = 5 and 2(15 + 3x - 2y) - y + z = 2.
Simplify and solve these two equations to find the values of y and z. Once you have their values, you can substitute them back into any of the original equations to find the value of x.