document.write( "Question 1191180: x + y + z =6
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Algebra.Com's Answer #822972 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Case 1: a=3.\r\n" );
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document.write( "-1R1+R2->R2\r\n" );
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document.write( "-1R2+R1->R1\r\n" );
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document.write( "\"system%281x%2B0y-1z=2%2C0x%2B1y%2B2z=4%2C0x%2B0y%2B0z=0%29\"\r\n" );
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document.write( "\"system%28x-z=2%2Cy%2B2z=4%29\"\r\n" );
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document.write( "\"system%28x=2%2Bz%2Cy=4-2z%29\"\r\n" );
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document.write( "(x,y,z) = (2+z,4-2z,z) where z is arbitrary.\r\n" );
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document.write( "Some solutions from case 1 are (x,y,z)=(2,4,0), (x,y,z)=(3,2,1),\r\n" );
document.write( "(x,y,z)=(4,0,2), (x,y,z)=(5,-2,3), (x,y,z)=(1,6,-1), etc., etc.,...\r\n" );
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document.write( "Case 2. x ≠ 3    \r\n" );
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document.write( "-1R2+R1->R1\r\n" );
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document.write( "-1R1+R2->R2\r\n" );
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document.write( "-1R1+R3->R3\r\n" );
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document.write( "-1R2+R1->R1\r\n" );
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document.write( "-1R2+R3->R1\r\n" );
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document.write( "-1R2+R3->R3\r\n" );
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document.write( "1/(a-3)*R3->R3\r\n" );
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document.write( "R3+R1->R1\r\n" );
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document.write( "-2R3+R2->R2\r\n" );
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document.write( "Simplifying:\r\n" );
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document.write( "\"%28matrix%281%2C5%2Cx%2C%22%2C%22%2Cy%2C%22%2C%22%2Cz%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Edwin
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