SOLUTION: Solve the following linear system: z= 2x + 3y - 17 y= -3z - 7 x= z+2 / 2

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Question 1014324: Solve the following linear system:
z= 2x + 3y - 17
y= -3z - 7
x= z+2 / 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B3y-z=17
y%2B3z=-7
2x-z=2
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Use Cramer's rule,
A=%28matrix%283%2C3%2C%0D%0A2%2C3%2C-1%2C%0D%0A0%2C1%2C3%2C%0D%0A2%2C0%2C-1%0D%0A%29%29
abs%28A%29=18
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.

abs%28A%5Bx%5D%29=-18
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abs%28A%5By%5D%29=90
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abs%28A%5Bz%5D%29=-72
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x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-18%29%2F%2818%29=-1
y=abs%28A%5By%5D%29%2Fabs%28A%29=%289%29%2F%2818%29=5
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%28-72%29%2F%2818%29=-4