Final answer:
The question requires solving a system of three algebraic equations with three unknowns, which can be done using elimination or substitution methods to find the values of x, y, and z.
Step-by-step explanation:
The question involves solving a system of equations consisting of three equations with three unknowns (x, y, and z). This is a common problem in algebra that requires students to use methods such as substitution, elimination, or matrix operations to find the values of the variables that satisfy all three equations simultaneously.
To solve the given equations:
- (x + y - z = -3)
- (2x - 3y + z = -4)
- (x - y + 3z = 9)
One could start by using the elimination method to eliminate one variable, then use substitution to solve for the remaining variables. The specific steps would depend on which variables are chosen to be eliminated first and second.