3 variables - 3 equations
solve the system using elimination of one variable to create a new system of 2 equations with 2 variables which will be solved using the elimination or substitution method. The solution of the 2-variable system will be used to determine the value of the 3rd and final variable from the 3-variable system.
looking at special cases for 3 equation systems and the physical model of the 3 planes in space.
special situation where one of the equations is set up to use the substitution method as a beginning step.
This system of 3 equations has a twist to the final answer that will require some analysis regarding the solution of the system.