SOLUTION: -3x+3y–3z=6 -x+y+z= -10 -x–3y–z=-14 solve a system of equations in 3 variables using elimination

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Question 981089: -3x+3y–3z=6
-x+y+z= -10
-x–3y–z=-14
solve a system of equations in 3 variables using elimination
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-3x+3y–3z=6
-x+y+z= -10
-x–3y–z=-14
solve a system of equations in 3 variables using elimination
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Simplify the top equation to get:
x - y + z = -2
-x + y + z = -10
-x -3y - z = -14
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Add the 1st row to the 2nd
Add the 1st row to the 3rd
x - y + z = -2
0 + 0 +2z = -12
0 -4y + 0 = -16
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Solve the 2nd row for "z":
Solve the 3rd row for "y":
z = -6
y = 4
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Solve the 1st row for "x"::
x -4 -6 = -2
x = 8
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Cheers,
Stan H.
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