SOLUTION: how do i solve the following 4 x 4 system using elimination & substitution?
w + 2x + 2y + z = -2
w + 3x - 2y - z = -6
-2w - x + 3y + 3z = 6
w + 4x + y - 2z = -14
Algebra.Com
Question 1059434: how do i solve the following 4 x 4 system using elimination & substitution?
w + 2x + 2y + z = -2
w + 3x - 2y - z = -6
-2w - x + 3y + 3z = 6
w + 4x + y - 2z = -14
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
:
:
:
:
Eliminate w by using elementary row operations,
:
:
.
.
:
:
.
.
:
:
So now your reformed equations are,
:
:
:
Continue in this fashion until you have solved for one variable and then work backwards.
You can eliminate by these row operations,
and
RELATED QUESTIONS
solve Linear sestems when w=1
w+2x+2y+z=-2
w+3x-2y-z=-6
-2w-x+3y+3z=6
w+4x+y+2z=-14
(answered by Fombitz)
solve the system using matrices. Use Gaussian elimination with back-substitution or... (answered by nabla,richwmiller)
Use the elimination method to solve the system of equation that has four variables.... (answered by Alan3354)
X+y+z+w=6
2x+3y-w=0
-3x+4y+z+2w=4... (answered by Alan3354)
2w+x-3y+z=4
w-3x+y+z=32
-w+2x+2y-z=-10... (answered by Fombitz,Alan3354)
I need help solving a system of 4 equations with 4 unknowns (finding where they all... (answered by fractalier)
solve the following homogeneous system of linear equations:
x+y-3y+2w=0,
2x-y+2z-3w=0,
(answered by Alan3354)
2w-3x+4y+z=7
w-x+3y-5z=10
3w+x-2y-2z=6... (answered by Alan3354)
Please solve for w, x, y, and z.
1. x + 3w = 4
2y - z -w = 0
3y - 2w = 1
(answered by CharlesG2)