document.write( "Question 12503: the question says solve the following system of euqations by elimination.\r
\n" ); document.write( "\n" ); document.write( "x+2z =5
\n" ); document.write( "-4x+6y =0
\n" ); document.write( "x-2z=9\r
\n" ); document.write( "\n" ); document.write( "this is the order that the problem is set up, and i haven't seen anything like this, so i need a little help on what to do. \r
\n" ); document.write( "\n" ); document.write( "thanks matt
\n" ); document.write( "

Algebra.Com's Answer #6358 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve by elimination:\r
\n" ); document.write( "\n" ); document.write( "1) \"x+%2B+2z+=+5\"
\n" ); document.write( "2) \"-4x+%2B+6y+=+0\"
\n" ); document.write( "3) \"x+-+2z+=+9\"\r
\n" ); document.write( "\n" ); document.write( "Add equations 1) and 3) to eliminate z.\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+2z+=+5\"
\n" ); document.write( "\"x+-+2z+=+9\"
\n" ); document.write( "----------------
\n" ); document.write( "\"2x+=+14\"
\n" ); document.write( "\"x+=+7\" Substitute this value of x into equation 1) and solve for z.\r
\n" ); document.write( "\n" ); document.write( "1)
\n" ); document.write( "\"7+%2B+2z+=+5\" Subtract 7 from both sides.
\n" ); document.write( "\"2z+=+-2\" Divide both sides by 2.
\n" ); document.write( "\"z+=+-1\"
\n" ); document.write( "Substitute x = 7 into equation 2) and solve for y.\r
\n" ); document.write( "\n" ); document.write( "\"-4%287%29+%2B+6y+=+0\"
\n" ); document.write( "\"-28+%2B+6y+=+0\" Add 28 to both sides.
\n" ); document.write( "\"6y+=+28\" Divide both sides by 6.
\n" ); document.write( "\"y+=+28%2F6\" = 4 2/3\r
\n" ); document.write( "\n" ); document.write( "To check the solutions, substitute x = 7, y = 4 2/3, and z = -1 into the original equations. I'll leave for you to do.\r
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