SOLUTION: 4. Solve x + y - z = 0 2x - y + z = 6 -x + y + z = 8 Show your answers as (x,y,z) PLEASE SHOW ALL WORK THANK YOU

Question 118915: 4. Solve
x + y - z = 0
2x - y + z = 6
-x + y + z = 8
Show your answers as (x,y,z)
PLEASE SHOW ALL WORK
THANK YOU

Found 2 solutions by mayank, MathLover1:
Answer by mayank(15) (Show Source): You can put this solution on YOUR website!
let x+y-z=0 ---1
and 2x-y+z=6 ---2
and -x+y+z=8 ---3
now adding 1 and 3 gives 2y=8
thus y=4 ---4
putting value of y in eq 1 gives x+4-z=0
thus x-z=-4-----5
now putting value of y in eq 2 gives 2x-4+z=6
thus 2x+z=10---6
Adding eq 5 and 6 we get,
3x=6
thus x=2 ----7
putting values of x and y in eq 1 gives 2+4-z=0
thus 6-z=0
thus z=6-----8
thus from eq 4,7 and 8 we get x,y,z as 2,4 and 6 respectively

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
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