SOLUTION: solve by elimination x-y-2x=4 -x+2y+z=1 -x+y-3z=11

Question 1128334: solve by elimination
x-y-2x=4
-x+2y+z=1
-x+y-3z=11
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve by elimination
x-y-2z =4 --- Eqn 1
-x+2y+z=1 --- Eqn 2
-x+y-3z=11 -- Eqn 3
----------
Eliminate 1 of the 3 variables.
Start with x, since all 3 coefficients are 1 or -1
---
x-y-2z =4 --- Eqn 1
-x+2y+z=1 --- Eqn 2
------------------------------ Add
y + z = 5 --- Eqn A
---
x-y-2z =4 --- Eqn 1
-x+y-3z=11 -- Eqn 3
---------------------------- Add
-5z = 15
z = -3
*******************
y + z = 5 --- Eqn A
y - 3 = 5
y = 8
*******************
x-y-2z =4 --- Eqn 1
x - 8 + 6 = 4
x = 6
(6,8,-3)

RELATED QUESTIONS
solve each system by elimination. check your answers. -x-y-2z=4 -x+2y+z=1... (answered by checkley75)

solve each system by elimination. check your answers. -x-y-2z=4 -x+2y+z=1... (answered by scott8148)

Solve by using elimination: x-y-2z=4 -x+2y+z=1 -x+y-3z=11 Please and thank you (answered by Alan3354)

Solve each system by elimination. 10) x+y+z=-2 2x+2y-3z=11 3x-y+z=4 (answered by ikleyn)

Solve by gauss elimination method... (answered by richwmiller)

Solve by the Gauss-Jordan elimination: x+y+2z+t=1 x+2y+z+t=2 2x+y+z+t=4... (answered by Edwin McCravy)

solve the following systems of linear equation in three variables by elimination or... (answered by ReadingBoosters,Edwin McCravy)

x-2y+3z = - 4 3x+y-z=0 2x+3y-5z=1 gauss jordan... (answered by Cromlix)

X+2y-3z=11 3x+2y+z=1... (answered by Alan3354)