SOLUTION: How to solve this kind of problem/equation in Linear equation with 4 variables; w-2x+3y+4z=12 2w+x+4y-2z=8 3w+3x-4y+3z=12 5w-4x+5y-6z=30

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: How to solve this kind of problem/equation in Linear equation with 4 variables; w-2x+3y+4z=12 2w+x+4y-2z=8 3w+3x-4y+3z=12 5w-4x+5y-6z=30      Log On


   



Question 1004179: How to solve this kind of problem/equation in Linear equation with 4 variables;
w-2x+3y+4z=12
2w+x+4y-2z=8
3w+3x-4y+3z=12
5w-4x+5y-6z=30

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
There are a couple of methods.
One is to eliminate the same one variable from all four equations, boiling it down to three equations and three variables. Then repeat the process and reduce it down to two equations and two unknowns...something you should already know how to solve...
Another method is using matrices and Cramer's Rule, a bit too complicated to show here.