document.write( "Question 982652: 2x+2y+2z=0
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\n" ); document.write( "8x+y+4z=-1 by using gauss Jordan elimination methid \n" ); document.write( "
Algebra.Com's Answer #603581 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( " 2x+2y+2z=0\r\n" );
document.write( "-2x+5y+2z=1\r\n" );
document.write( " 8x+y+4z=-1\r\n" );
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document.write( "Get rid of the -2x by adding the 1st equation to the 2nd equation:\r\n" );
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document.write( " 2x+2y+2z=0\r\n" );
document.write( "   +7y+4z=1\r\n" );
document.write( " 8x+y+4z=-1\r\n" );
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document.write( "Get rid of the 8x by multiplying the 1st equation by -4 then \r\n" );
document.write( "adding it to the 3rd equation:\r\n" );
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document.write( "-8x-8y-8z=0\r\n" );
document.write( "   +7y+4z=1\r\n" );
document.write( " 8x+y+4z=-1\r\n" );
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document.write( "-8x-8y-8z=0\r\n" );
document.write( "   +7y+4z=1\r\n" );
document.write( "   -7y-4z=-1\r\n" );
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document.write( "Then divide the 1st equation through by -8\r\n" );
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document.write( "  x+ y+ z=0\r\n" );
document.write( "   +7y+4z=1\r\n" );
document.write( "   -7y-4z=-1\r\n" );
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document.write( "Get rid of the -7y by adding the 2nd equation to the 3rd equation\r\n" );
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document.write( "  x+ y+ z=0\r\n" );
document.write( "   +7y+4z=1\r\n" );
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document.write( "The whole 3rd equation vanished when I did that.\r\n" );
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document.write( "Solve the second equation for y\r\n" );
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document.write( "  7y+4z=1\r\n" );
document.write( "     7y=1-4z\r\n" );
document.write( "      y=\"1%2F7-expr%284%2F7%29z\"\r\n" );
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document.write( "Substitute in the first equation:\r\n" );
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document.write( "  x + \"1%2F7-expr%284%2F7%29z\" + z=0\r\n" );
document.write( "  x + \"1%2F7-expr%284%2F7%29z%2Bexpr%287%2F7%29z=0\"\r\n" );
document.write( "  x + \"1%2F7%2Bexpr%283%2F7%29z=0\"\r\n" );
document.write( "  x = \"-1%2F7-expr%283%2F7%29z\"\r\n" );
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document.write( "General solution:\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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