Types of solutions
for systems of planes (3 variable equations)
What is a solution of system of equations with 3 variables?
Why 3 planes?
If you want to solve a linear equation with 2 variables, you need 2 equations.
You can's solve $$ x + y = 1$$ , right? That's because you need equations to solve for 2 variables.
Similarly, if you have an equation with 3 variables, ( graphically represented by 3 planes), you're going to need 3 equations to solve it.