SOLUTION: Solve the system, using Cramer's Rule, if possible. Please show work. Thank you! x - 2y + 3z=11 4x + y - z=4 2x - y + z =10

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve the system, using Cramer's Rule, if possible. Please show work. Thank you! x - 2y + 3z=11 4x + y - z=4 2x - y + z =10      Log On


   

Question 964832: Solve the system, using Cramer's Rule, if possible. Please show work. Thank you!
x - 2y + 3z=11
4x + y - z=4
2x - y + z =10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%28matrix%283%2C3%2C%0D%0A1%2C-2%2C3%2C%0D%0A4%2C1%2C-1%2C%0D%0A2%2C-1%2C1%29%29
abs%28A%29=-6
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A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A11%2C-2%2C3%2C%0D%0A4%2C1%2C-1%2C%0D%0A10%2C-1%2C1%29%29
abs%28A%5Bx%5D%29=-14
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A%5By%5D=%28matrix%283%2C3%2C%0D%0A1%2C11%2C3%2C%0D%0A4%2C4%2C-1%2C%0D%0A2%2C10%2C1%29%29
abs%28A%5By%5D%29=44
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A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A1%2C-2%2C11%2C%0D%0A4%2C1%2C4%2C%0D%0A2%2C-1%2C10%29%29
abs%28A%5Bz%5D%29=12
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x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-14%29%2F%28-6%29=7%2F3
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y=abs%28A%5By%5D%29%2Fabs%28A%29=44%2F%28-6%29=-22%2F3
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z=abs%28A%5Bz%5D%29%2Fabs%28A%29=12%2F%28-6%29=-2