For my discrete math/linear algebra class, one of our homework problems reads as follows:
Use backsubstitution to solve the following system of equations and obtain the general solution. 3x + 4y + 7z - 3t = 3 0x + 5y + 3z = 40
Now, I've always been taught that you need as many equations as variables to solve a system of equations. Is there a way to do this where you don't need as many equations as variables? Or would I be correct in making x and t both equal 1 so that they cancel out and then solve the system that way?