SOLUTION: Solve x + y - z = 0 2x - y + z = 6 -x + y + z = 8 Show your answers as (x,y,z)

Question 84180: Solve
x + y - z = 0
2x - y + z = 6
-x + y + z = 8
Show your answers as (x,y,z)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system and label the equations
Equation 1
Equation 2
Equation 3
Add equations 1 and 2
Divide both sides by 3

Now lets use this info to find another variable

Plug in x=2 into equation 2 to get Equation 4
Multiply
Plug in x=2 into equation 3 to get Equation 5
Multiply equation 3 by -1

So now we have the equations
Equation 4
Equation 5
Add equations 4 and 5
Subtract 6 from both sides
Divide both sides by -2

Now lets use this to find z

Plug in x=2 and y=4 into Equation 1 (at this point any equation will do)
Add
Subtract
Divide

So our solution is
(2,4,6)
RELATED QUESTIONS
Solve x + y - z = 0 2x - y + z = 6 -x + y + z = 8 Show your... (answered by vertciel)

4. Solve x + y - z = 0 2x - y + z = 6 -x + y + z = 8 Show your... (answered by mayank,MathLover1)

1. Write the equation of the line through (1,2) and (-3,6) in the y=mx+b format. 2.. (answered by jim_thompson5910)

Please help me solve this equation. x+y-z=0 2x-y+z=6... (answered by Alan3354)

Solve the system. x-y+z=0 x+y+z=-2... (answered by Alan3354,ikleyn)

(y + z)/x - z/x (answered by Fombitz)

x+y-z=6 2x-y+3z=1 x+3y+z=8 solve by cramer's... (answered by jim_thompson5910)

x+y+z=6 2x-y+z=3... (answered by tommyt3rd)

solve x + 3y + z = 1 2x � y � z = 6 5x + y + z = 1 using matrices. (answered by Fombitz)