document.write( "Question 1127836: Solve the of equation 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18.\r
\n" ); document.write( "\n" ); document.write( "A. There is one solution (-1,2,-3)
\n" ); document.write( "B. There is one solution (1,-2,3)
\n" ); document.write( "C. There is one solution (-1,-2,-3)
\n" ); document.write( "D. There is one solution (1,2,3)
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Algebra.Com's Answer #744338 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Solve the of equation
\n" ); document.write( "\"2x-y%2Bz=-7\"................eq.1
\n" ); document.write( "\"+x-3y%2B4z=-19\"...........eq.2
\n" ); document.write( "\"-x%2B4y-3z=18\"...........eq.3
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "start with
\n" ); document.write( "\"+x-3y%2B4z=-19\"...........eq.2
\n" ); document.write( "\"-x%2B4y-3z=18\"...........eq.3..........add both
\n" ); document.write( "-----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"+x-3y%2B4z-x%2B4y-3z=-19%2B18\"\r
\n" ); document.write( "\n" ); document.write( "\"+z%2By=-1\"
\n" ); document.write( "\"+z=-1-y\"..........(1a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x-y%2Bz=-7\"................eq.1
\n" ); document.write( "\"+x-3y%2B4z=-19\"...........eq.2........multiply by \"2\"
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "\"2x-y%2Bz=-7\"................eq.1.
\n" ); document.write( "\"+2x-6y%2B8z=-38\"...........eq.2............subtract
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "\"2x-y%2Bz-%282x-6y%2B8z%29=-7-%28-38%29\"
\n" ); document.write( "\"2x-y%2Bz-2x%2B6y-8z=-7%2B38\"
\n" ); document.write( "\"5y-7z=31\"
\n" ); document.write( "\"5y-31=7z\"
\n" ); document.write( "\"z=%285y-31%29%2F7\"..........(1b)\r
\n" ); document.write( "\n" ); document.write( "from (1a) and (1b) we have\r
\n" ); document.write( "\n" ); document.write( "\"%285y-31%29%2F7=-1-y\"
\n" ); document.write( "\"5y-31=-7-7y\"
\n" ); document.write( "\"5y%2B7y=31-7\"
\n" ); document.write( "\"12y=24\"
\n" ); document.write( "\"highlight%28y=2%29\"\r
\n" ); document.write( "\n" ); document.write( "go to \"+z=-1-y\"..........(1a), plug in \"y\" value\r
\n" ); document.write( "\n" ); document.write( "\"+z=-1-2\"
\n" ); document.write( "\"+highlight%28z=-3%29\"\r
\n" ); document.write( "\n" ); document.write( "go to \"2x-y%2Bz=-7\"................eq.1 plug in \"y\" and \"z\" value\r
\n" ); document.write( "\n" ); document.write( "\"2x-2-3=-7\"
\n" ); document.write( "\"2x-5=-7\"
\n" ); document.write( "\"2x=-7%2B5\"
\n" ); document.write( "\"2x=-2\"
\n" ); document.write( "\"highlight%28x=-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "answer: A. There is one solution (\"-1\",\"2\",\"-3\")\r
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