document.write( "Question 1152659: 6x+z=21
\n" ); document.write( "4x+6y=34
\n" ); document.write( "-5y+6z=-33 \n" ); document.write( "

Algebra.Com's Answer #774704 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " $\"6x%2Bz=21\"$ .............1)
\n" ); document.write( " $\"4x%2B6y=34\"$ .............2)
\n" ); document.write( " $\"-5y%2B6z=-33\"$ .............3)
\n" ); document.write( "---------------------------------\r
\n" ); document.write( "\n" ); document.write( " $\"6x%2Bz=21\"$ .............1)........solve for $\"z\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=-6x%2B21\"$ ........1a)\r
\n" ); document.write( "\n" ); document.write( " $\"-5y%2B6z=-33\"$ .............3)......solve for $\"z\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=5y%2F6-33%2F6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=5y%2F6-11%2F2\"$ ........2a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from 1a) and 2a) we have\r
\n" ); document.write( "\n" ); document.write( " $\"-6x%2B21=5y%2F6-11%2F2\"$ .....solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-6x=5y%2F6-33%2F6-21\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-6x=%285+y%29%2F6+-+53%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=%285+y%29%2F-36+-+53%2F-12\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+53%2F12+-+%285+y%29%2F36\"$ ........3a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( " $\"z=-6x%2B21\"$ ........1a), substitute $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=-6%2853%2F12+-+%285+y%29%2F36%29%2B21\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=++%285+y%29%2F6+-+11%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( " $\"4x%2B6y=34\"$ .............3), substitute $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4%2853%2F12+-+%285+y%29%2F36%29%2B6y=34\"$ .........solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2849+y%29%2F9+%2B+53%2F3+=34\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%2849+y%29%2F9++=+34-+53%2F3\"$
\n" ); document.write( " $\"%2849+y%29%2F9++=+102%2F3-+53%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2849+y%29%2F9++=+49%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2849+y%29++=+9%2849%2F3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2849+y%29++=+3%2849%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+3%2849%2F49+%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+3\"$ \r
\n" ); document.write( "\n" ); document.write( "go to
\n" ); document.write( " $\"z=5y%2F6-11%2F2\"$ ........2a), substitute $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=%285%2A3%29%2F6-11%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=5%2F2-11%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=-6%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z=-3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( " $\"z=-6x%2B21\"$ ........1a), substitute $\"z\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-3=-6x%2B21\"$ .......solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6x=3%2B21\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6x=24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=4\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+4\"$ , $\"y+=+3\"$ , $\"z+=+-3\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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