SOLUTION: Solve to find the values of x,y and z. i) 3x-4y+z=29 ii) 7x+y-3z=26 iii) 5x+4y-3z=7 Please help! I really need this!

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve to find the values of x,y and z. i) 3x-4y+z=29 ii) 7x+y-3z=26 iii) 5x+4y-3z=7 Please help! I really need this!      Log On


   

Question 912519: Solve to find the values of x,y and z.
i) 3x-4y+z=29
ii) 7x+y-3z=26
iii) 5x+4y-3z=7
Please help! I really need this!
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use Cramer's rule,
A=%28matrix%283%2C3%2C%0D%0A3%2C-4%2C1%2C%0D%0A7%2C1%2C-3%2C%0D%0A5%2C4%2C-3%29%29
abs%28A%29=26
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A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A29%2C-4%2C1%2C%0D%0A26%2C1%2C-3%2C%0D%0A7%2C4%2C-3%29%29
abs%28A%5Bx%5D%29=130
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A%5By%5D=%28matrix%283%2C3%2C%0D%0A3%2C29%2C1%2C%0D%0A7%2C26%2C-3%2C%0D%0A5%2C7%2C-3%29%29
abs%28A%5By%5D%29=-78
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A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A3%2C-4%2C29%2C%0D%0A7%2C1%2C26%2C%0D%0A5%2C4%2C7%29%29
abs%28A%5Bz%5D%29=52
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x=abs%28A%5Bx%5D%29%2Fabs%28A%29=130%2F26=5
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y=abs%28A%5By%5D%29%2Fabs%28A%29=%28-78%29%2F26=-3
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z=abs%28A%5Bz%5D%29%2Fabs%28A%29=52%2F26=2
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Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
3x-4y+z=29,
7x+y-3z=26,
5x+4y-3z=7
x = 5, y = -3, z = 2