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.Com
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)   (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.

RELATED QUESTIONS

Solve the system of linear equation below: 2w + 3x + y + 2z = 16 W + 4x + 3y + 3z = 15 (answered by Theo,MathLover1,MathTherapy,ikleyn)
x-3y+7z+w=11 2x+4y+6z-3w=-3 3x+2y+z+2w=19 4x+y-3z+w=22 Systems of linear equations (answered by Alan3354)
2w-3x+4y+z=7 w-x+3y-5z=10 3w+x-2y-2z=6... (answered by Alan3354)
Please help me solve this linear system with three variables. 2x-y+2z=-21 x+5y-z=25 (answered by Alan3354)
I need to solve the 4x4 equation: w+3x-2y+z=11 2w-3x+3y-4z=-29 5w+x-2y+3z=5... (answered by richwmiller)
How do I solve:-5x+y-4z=60 How do I solve: -2x+5y+3z=-25 in variables... (answered by Alan3354)
Second attempt at this problem. I tried 2 different methods, by matrices and elimination... (answered by fractalier)
Which answer correctly shows the first step that can be used to correctly solve the... (answered by Edwin McCravy)
x-3y-7z+w=11 2x-4y+6z-3w=-3 3x+2y+z+2w=19... (answered by Alan3354)