document.write( "Question 1074725: The sum of three numbers is 20. The difference of the first two numbers is 5 and the third number is 4 times the sum of the first two \n" ); document.write( "
Algebra.Com's Answer #689382 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
x, y, z\r
\n" ); document.write( "\n" ); document.write( "Assumption made here is \"x%3Cy\".\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%2By%2Bz=20%2Cy-x=5%2Cz=4%28x%2By%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "(corrected)---\r
\n" ); document.write( "\n" ); document.write( "Substituting for z,
\n" ); document.write( "\"system%28x%2By%2B4%28x%2By%29=20%2C-x%2By=5%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%2By=4%2C-x%2By=5%29\"
\n" ); document.write( "The system here ready for use of Elimination Method.
\n" ); document.write( "ADD: \"2y=9\"
\n" ); document.write( "\"highlight_green%28y=9%2F2%29\"
\n" ); document.write( "-
\n" ); document.write( "SUBTRACT: \"-2x=1\"
\n" ); document.write( "\"highlight_green%28x=-1%2F2%29\"
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\n" ); document.write( "Use x and y to find z.\r
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\n" ); document.write( "(posted earlier - incorrect -
\n" ); document.write( "--------------------------------------------------------------------
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\n" ); document.write( "\"x%2By=20-z\" From first equation
\n" ); document.write( "\"z=4%2820-z%29\" Substituted into equation #3
\n" ); document.write( "\"z=80-4z\"
\n" ); document.write( "\"3z=80\"-----MISTAKE... All the rest below is wrong...
\n" ); document.write( "\"z=80%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2By%2B80%2F3=20\"
\n" ); document.write( "\"3x%2B3y%2B80=60\"
\n" ); document.write( "\"3x%2B3y=-20\"\r
\n" ); document.write( "\n" ); document.write( "Simpler system in just x and y
\n" ); document.write( "\"system%283x%2B3y=-20%2C-x%2By=5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%283x%2B3y%29%2B%28-3x%2B3y%29=-20%2B5\"
\n" ); document.write( "\"6y=-15\"
\n" ); document.write( "\"2y=-5\"
\n" ); document.write( "\"y=-5%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"y-x=5\"
\n" ); document.write( "\"y-5=x\"
\n" ); document.write( "\"x=-5%2F2-5\"
\n" ); document.write( "\"x=-5%2F2-10%2F2\"
\n" ); document.write( "\"x=-15%2F2\"
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