Final answer:
True, a combination of the elimination and substitution methods can solve a three-variable system of equations.
Step-by-step explanation:
The statement is True. We can use a combination of the elimination and substitution methods to solve a three-variable system of equations. In the elimination method, we aim to eliminate one variable by adding or subtracting the equations, allowing us to solve for the remaining variables. This method works well when the coefficients of one variable are opposites in two equations.
In the substitution method, we solve one equation for one variable and substitute this expression into the other equations. This allows us to solve for the remaining variables. This method is more straightforward when one equation can be easily solved for one variable.