document.write( "Question 795428: The system of equations may have a unique solution, an infinite number of solutions, or no solution.Use matrices to find the general solution of each system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z.\r
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\n" ); document.write( "\n" ); document.write( "{{x+y+z=0}}}}
\n" ); document.write( "{{2x-y-z=0}}}
\n" ); document.write( "{{-x+2y+2z=0}}}\r
\n" ); document.write( "\n" ); document.write( "I have broken the matrix down to this:\r
\n" ); document.write( "\n" ); document.write( "[1 0 0 0]
\n" ); document.write( "[0 1 1 0]
\n" ); document.write( "[0 0 0 0]\r
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Algebra.Com's Answer #480967 by AnlytcPhil(1807) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "The matrix\r\n" );
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document.write( "[1 0 0 | 0]\r\n" );
document.write( "[0 1 1 | 0]\r\n" );
document.write( "[0 0 0 | 0]\r\n" );
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document.write( "means\r\n" );
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document.write( "1x + 0y + 0z = 0\r\n" );
document.write( "0x + 1y + 1z = 0\r\n" );
document.write( "0x + 0y + 0z = 0\r\n" );
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document.write( "or\r\n" );
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document.write( "           x = 0\r\n" );
document.write( "       y + z = 0\r\n" );
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document.write( "or\r\n" );
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document.write( "           x = 0\r\n" );
document.write( "           y = -z\r\n" );
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document.write( "So the solution in terms of z is:\r\n" );
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document.write( "     (x,y,z) = (0,-z,z)\r\n" );
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document.write( "Edwin

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