document.write( "Question 499212: Use the gauss-jordan method to solve this system of equation
\n" ); document.write( "4x + 4y - 4z = 24
\n" ); document.write( "2x - y + z = -9
\n" ); document.write( "x - 2y + 3z = 1\r
\n" ); document.write( "\n" ); document.write( "can you show me step by step how to solve this problem?
\n" ); document.write( "Diana
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Algebra.Com's Answer #337508 by emargo19(101)\"\" \"About 
You can put this solution on YOUR website!
\"4x+%2B+4y+-+4z+=+24\" (eq1)
\n" ); document.write( "\"2x+-++y+%2B+z++=+-9\" (eq2) multiply by -2\r
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\n" ); document.write( "\n" ); document.write( "\"4x+%2B+4y+-+4z+=+24\"
\n" ); document.write( "\"-4x+%2B+2y+-+2z++=18\"
\n" ); document.write( "---------------------
\n" ); document.write( " \"6y+-+6z+=+42\" (new eq)\r
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\n" ); document.write( "\n" ); document.write( "\"4x+%2B+4y+-+4z+=+24\" (eq1)
\n" ); document.write( "\"x++-+2y+%2B+3z+=+1\" (eq3) multiply by -4\r
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\n" ); document.write( "\n" ); document.write( "So
\n" ); document.write( "\"+4x+%2B+4y+-+4z+=+24\"
\n" ); document.write( "\"-4x+%2B+8y+-+12z+=-4\"
\n" ); document.write( "----------------------
\n" ); document.write( "\"0+++%2B+12y-+16z+=20\" (New eq)\r
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\n" ); document.write( "\n" ); document.write( "**Next use both new equations **
\n" ); document.write( "\"6y+-+6z+=+42\" multiply by -2
\n" ); document.write( "\"12y+-16z=+20\"\r
\n" ); document.write( "\n" ); document.write( "gives these
\n" ); document.write( "\"-12y+%2B+12z+=+-84\"
\n" ); document.write( "\"12y++-+16z+=++20\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"0++++-+4z++=+-64\"
\n" ); document.write( "\"++++++++z++=++16\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute z=16 in eq 6y-6z=42
\n" ); document.write( "\"6y-6%2816%29=42\"
\n" ); document.write( "\"6y-96=42\"
\n" ); document.write( "\"6y=138\"
\n" ); document.write( "\"y=23\"\r
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\n" ); document.write( "\n" ); document.write( "substitute y=23 and z=16 in equation 1.
\n" ); document.write( "\"4x+%2B+4y+-+4z+=+24\"
\n" ); document.write( "\"4x%2B4%2823%29-+4%2816%29=24\"
\n" ); document.write( "\"4x%2B92-64=24\"
\n" ); document.write( "\"4x=-4\"
\n" ); document.write( "\"x=-1\"\r
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\n" ); document.write( "\n" ); document.write( "Solution:(-1,23,16)
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