document.write( "Question 692420: 3x+2y+z=3
\n" ); document.write( "x-3y+z=4
\n" ); document.write( "-6-4y-2z=1
\n" ); document.write( "I started the problem but can't seem to advance\r
\n" ); document.write( "\n" ); document.write( "3x+2y+z=3
\n" ); document.write( "x-3y+z=4\r
\n" ); document.write( "\n" ); document.write( "2x+5y=-1 \n" ); document.write( "
Algebra.Com's Answer #427000 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( " 3x + 2y +  z = 3\r\n" );
document.write( "  x - 3y +  z = 4\r\n" );
document.write( "-6x - 4y - 2z = 1\r\n" );
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document.write( "The idea is to get a system that looks like this:\r\n" );
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document.write( " Ax + By + Cz = D\r\n" );
document.write( "      Ey + Fz = G\r\n" );
document.write( "           Hz = I\r\n" );
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document.write( "And it's OK if the + signs are minuses.\r\n" );
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document.write( "Get rid of the x by multiplying the 2nd eq by -3\r\n" );
document.write( "and adding the first equation to it:\r\n" );
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document.write( " 3x + 2y +  z =   3\r\n" );
document.write( "-3x + 9y - 3z = -12\r\n" );
document.write( "-------------------\r\n" );
document.write( "     11y - 2z =  -9\r\n" );
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document.write( "So the system is now:\r\n" );
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document.write( " 3x +  2y +  z =  3\r\n" );
document.write( "      11y - 2z = -9\r\n" );
document.write( "-6x -  4y - 2z =  1\r\n" );
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document.write( "Get rid of the -6x by multiplying the 1st eq by 2\r\n" );
document.write( "and adding the third equation to it:\r\n" );
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document.write( " 6x +  4y +  2 =  6\r\n" );
document.write( "-6x -  4y - 2z =  1\r\n" );
document.write( "-------------------\r\n" );
document.write( "            0z =  7\r\n" );
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document.write( "We can stop right here and say there is no solution,\r\n" );
document.write( "because no value of z multiplied by zero can give 7.\r\n" );
document.write( "So we write:\r\n" );
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document.write( "No solution, the equations are inconsistent.\r\n" );
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document.write( "Edwin
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