document.write( "Question 388406: Solve the systems of equations
\n" ); document.write( "x-y+2z=6
\n" ); document.write( "x-3y+z=8
\n" ); document.write( "2x-y-z=5
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Algebra.Com's Answer #274767 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
[A]=\"%28matrix%283%2C3%2C1%2C-1%2C2%2C1%2C-3%2C1%2C2%2C-1%2C-1%29%29\"
\n" ); document.write( "[x]=\"%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29\"
\n" ); document.write( "[b]=\"%28matrix%283%2C1%2C6%2C8%2C5%29%29\"
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\n" ); document.write( "[A][x]=[b]
\n" ); document.write( "[x]=[A]inv[b]
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\n" ); document.write( "det[A]=\"11\"
\n" ); document.write( "Using matrix inversion,
\n" ); document.write( "[A]inv=\"%281%2F11%29%2A%28matrix%283%2C3%2C4%2C-3%2C5%2C3%2C-5%2C1%2C5%2C-1%2C-2%29%29\"
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\n" ); document.write( "[x]=\"%281%2F11%29%2A%28matrix%283%2C1%2C25%2C-17%2C12%29%29\"
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