document.write( "Question 1152439: 3x+y-4z=-6
\n" ); document.write( "2x+3y-4z=4
\n" ); document.write( "x-y+2z=-4 \n" ); document.write( "

Algebra.Com's Answer #774456 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"3x%2By-4z=-6\"$ ..........1
\n" ); document.write( " $\"2x%2B3y-4z=4\"$ .........2
\n" ); document.write( " $\"x-y%2B2z=-4\"$ ............3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "start with\r
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\n" ); document.write( "\n" ); document.write( " $\"x-y%2B2z=-4\"$ ............3...solve for $\"+x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=y-2z-4\"$ ............3a\r
\n" ); document.write( "\n" ); document.write( "then,\r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B3y-4z=4\"$ .........2..solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=4z%2F2-3y%2F2%2B4%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2z-3y%2F2%2B2\"$ .........2a\r
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\n" ); document.write( "\n" ); document.write( "from 2a and 3a we have\r
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\n" ); document.write( "\n" ); document.write( " $\"y-2z-4=2z-3y%2F2%2B2\"$ .......solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y%2B3y%2F2=2z%2B2z%2B2%2B4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5y%2F2=4z%2B6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5y=8z%2B12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=8z%2F5%2B12%2F5\"$ ................2b\r
\n" ); document.write( "\n" ); document.write( "go to \r
\n" ); document.write( "\n" ); document.write( " $\"x=y-2z-4\"$ ............3a, substitute $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=8z%2F5%2B12%2F5-2z-4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=8z%2F5%2B12%2F5-10z%2F5-20%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-2z%2F5-8%2F5\"$ ...........3b\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( " $\"3x%2By-4z=-6\"$ ..........1...substitute $\"x\"$ and $\"y\"$ , and solve for $\"+z\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3%28-2z%2F5-8%2F5%29%2B%288z%2F5%2B12%2F5%29-4z=-6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-6z%2F5-24%2F5%2B8z%2F5%2B12%2F5-20z%2F5=-6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-%2818+z%29%2F5+-+12%2F5+=+-6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6+-+12%2F5+=+%2818+z%29%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2818+z%29%2F5=30%2F2-12%2F5%0D%0A%0D%0A%7B%7B%7B%2818+%2F5%29z=18%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=1\"$ \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to \r
\n" ); document.write( "\n" ); document.write( " $\"x=-2z%2F5-8%2F5\"$ ...........3b.....substitute $\"z\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-%282%2A1%29%2F5-8%2F5\"$ ...........3b\r
\n" ); document.write( "\n" ); document.write( " $\"x=-2%2F5-8%2F5+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-10%2F5+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-2\"$ \r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( " $\"y=8z%2F5%2B12%2F5\"$ ................2b...substitute $\"z\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%288%2A1%29%2F5%2B12%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=8%2F5%2B12%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=20%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=4\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+-2+\"$
\n" ); document.write( " $\"y+=+4+\"$
\n" ); document.write( " $\"z+=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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