SOLUTION: Solve the system: x + y - z = 2 2x + y + z = 3 3x + y + z = 5

Algebra.Com
Question 253075: Solve the system: x + y - z = 2
2x + y + z = 3
3x + y + z = 5

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x + y - z = 2
2x + y + z = 3
3x + y + z = 5
--------------- Subtract #3 from #2
-x = -2
x = 2
-------
x + y - z = 2 --> y - z = 0
2x + y + z = 3 --> y + z = -1
----------------------
Add those 2
2y = -1
y = -1/2
------------
Sub into eqn #1:
2 -1/2 - z = 2
z = -1/2

RELATED QUESTIONS

solve the system: x+y-z=2 2x+y+z=3... (answered by pie90010)
Solve the system: x + y + z = 4, 3x – y + z = 2, y – z =... (answered by ankor@dixie-net.com)
Solve the system 3x-y+z=3 -×+y+2z=0 -5×+3y+2z=-2. Solve for... (answered by FrankM)
solve the system x+y+z=-1 x-y+3z=-17 2x+y+z=-2 Solve the system x-y+2z=7... (answered by solver91311)
Solve the following system of linear equations: x + 2y - z = 5 2x - y + z = 2 (answered by Alan3354,vic21)
Solve the system 2x-3y+z=13 x+2y+3z=2 (answered by Edwin McCravy)
Solve the system 2x-3y+z=13 x+2y+3z=2... (answered by MathLover1)
solve using cramer rule :- 3x+2y+4z=19 2x-y+z=3 6x+7y-z=7 x-y+z= 1 x+y+z=2 2x-y+z=5... (answered by ikleyn)
Solve {{{system(x+2*y-z = 5, 2*x-4*y+z = 0, 3*x+2*y+2*z = 3)}}} (answered by jim_thompson5910)