SOLUTION: Solve the systems of equations simultaneously 4p+6q-r=0 2p+q+3r=4 p-2q+2r=10

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Question 1042893: Solve the systems of equations simultaneously
4p+6q-r=0
2p+q+3r=4
p-2q+2r=10
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%0A4%2C6%2C-1%2C%0D%0A2%2C1%2C3%2C%0D%0A1%2C-2%2C2%29%29
abs%28A%29=31
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.
.
A%5Bp%5D=%28matrix%283%2C3%2C%0D%0A0%2C6%2C-1%2C%0D%0A4%2C1%2C3%2C%0D%0A10%2C-2%2C2%29%29
abs%28A%5Bp%5D%29=150
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.
.
A%5Bq%5D=%28matrix%283%2C3%2C%0D%0A4%2C0%2C-1%2C%0D%0A2%2C4%2C3%2C%0D%0A1%2C10%2C2%29%29
abs%28A%5Bq%5D%29=-104
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.
.
A%5Br%5D=%28matrix%283%2C3%2C%0D%0A4%2C6%2C0%2C%0D%0A2%2C1%2C4%2C%0D%0A1%2C-2%2C10%29%29
abs%28A%5Br%5D%29=-24
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.
.
So then,
p=abs%28A%5Bp%5D%29%2Fabs%28A%29=150%2F31
q=abs%28A%5Bp%5D%29%2Fabs%28A%29=-104%2F31
r=abs%28A%5Bp%5D%29%2Fabs%28A%29=-24%2F31