SOLUTION: Solve the system: 5x - 3y + z = -6 x + 3y - z = 0 4x + y + z = 7

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Question 43768: Solve the system:
5x - 3y + z = -6
x + 3y - z = 0
4x + y + z = 7
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
5X-3Y+Z=-6
X+3Y-Z=0 NOW ADD THESE 2 EQUATIONS
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6X=-6 OR X=-1 NOW SUBSTITUTE -1 FOR X IN EQUATION 2 & 3
-1+3Y-Z=0
-4+Y+Z=7 NOW ADD THESE 2 EQUATIONS
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-5+4Y=7 OR 4Y=12 OR Y=3 THUS 5(-1)-3*3+Z=-6 OR -5-9+Z=-6 OR Z=8