document.write( "Question 118915: 4. Solve
\n" ); document.write( " x + y - z = 0
\n" ); document.write( " 2x - y + z = 6
\n" ); document.write( " -x + y + z = 8
\n" ); document.write( "Show your answers as (x,y,z) \r
\n" ); document.write( "\n" ); document.write( "PLEASE SHOW ALL WORK
\n" ); document.write( "THANK YOU
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #87074 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x+%2B+y+-+z+=+0+\"$ ЕЕЕЕЕ.(1)\r
\n" ); document.write( "\n" ); document.write( " $\"2x+-+y+%2B+z+=+6+\"$ ЕЕЕЕ..(2)\r
\n" ); document.write( "\n" ); document.write( " $\"-x+%2B+y+%2B+z+=+8\"$ ЕЕЕЕЕЕ(3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Take (1) and (3), add them to eliminate $\"x\"$ and $\"z\"$ and find $\"y\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cross%28x+%29%2B+y+cross%28-+z%29+=+0+\"$ ЕЕЕЕЕ.(1)\r
\n" ); document.write( "\n" ); document.write( "+ $\"cross%28-x+%29%2B+y+%2Bcross%28+z%29+=+8\"$ ЕЕЕЕЕЕ(3)
\n" ); document.write( "----------------------------\r
\n" ); document.write( "\n" ); document.write( " $\"2y+=+8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+4\"$ \r
\n" ); document.write( "\n" ); document.write( "take
\n" ); document.write( " $\"x+%2B+y+-+z+=+0+\"$ ЕЕЕЕЕ.(1)Е.plug in $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+4+-+z+=+0+\"$ ЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"x++-+z+=+-4+\"$ ЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+z+-+4+\"$ ЕЕЕЕЕ.(a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Take $\"2x+-+y+%2B+z+=+6+\"$ ЕЕЕЕ..(2) and plug in $\"x\"$ and $\"y\"$ to find $\"z\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+2%28z+-4+%29+-+4+%2B+z+=+6\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( " $\"+2z+-8+-+4+%2B+z+=+6\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( " $\"+3z+-12+=+6\"$ ЕЕЕЕЕ.divide both sides by $\"3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+z+-4+=+2\"$ ЕЕЕЕЕ.
\n" ); document.write( "
\n" ); document.write( " $\"+z+=+2%2B4+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( " $\"+z+=+6+\"$ ЕЕЕЕЕ.\r
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\n" ); document.write( "\n" ); document.write( "Now find $\"x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x+=+z+-+4+\"$ ЕЕЕЕЕ.(a)\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+6+-+4+\"$ ЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+2+\"$ ЕЕ\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+2+\"$ ЕЕ
\n" ); document.write( " $\"y+=+4\"$
\n" ); document.write( " $\"+z+=+6+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( "plug in values for $\"x\"$ , $\"y\"$ , and $\"z\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+-+z+=+0+\"$ ЕЕЕЕЕ.(1)\r
\n" ); document.write( "\n" ); document.write( " $\"2+%2B+4+-+6+=+0+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( " $\"6+-+6+=+0+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( " $\"0+=+0+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2x+-+y+%2B+z+=+6+\"$ ЕЕЕЕ..(2)\r
\n" ); document.write( "\n" ); document.write( " $\"2%2A2+-+4+%2B+6+=+6+\"$ ЕЕЕЕ..\r
\n" ); document.write( "\n" ); document.write( " $\"4+-+4+%2B+6+=+6+\"$ ЕЕЕЕ..\r
\n" ); document.write( "\n" ); document.write( " $\"6+=+6+\"$ ЕЕЕЕ..\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"-x+%2B+y+%2B+z+=+8\"$ ЕЕЕЕЕЕ(3)\r
\n" ); document.write( "\n" ); document.write( " $\"-2+%2B+4%2B+6+=+8\"$ ЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"2%2B+6+=+8\"$ ЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"8+=+8\"$ ЕЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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