document.write( "Question 1185610: The sum of three numbers is 32. Twice the first minus the second is 5 less than the third. The third is the second minus three times the first. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #816441 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
x,y,z; first, second, third\r
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\n" ); document.write( "\n" ); document.write( "\"system%28x%2By%2Bz=32%2C2x-y=z-5%2Cz=y-3x%29\"\r
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\n" ); document.write( "\n" ); document.write( "From E2 and E3
\n" ); document.write( "\"system%28z=2x-y%2B5%2Cz=-3x%2By%29\"
\n" ); document.write( "Equating expressions for z
\n" ); document.write( "\"2x-y%2B5=-3x%2By\"
\n" ); document.write( "\"5x-2y=-5\"\r
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\n" ); document.write( "\n" ); document.write( "Using E3 to substitute into E1
\n" ); document.write( "\"x%2By%2By-3x=32\"
\n" ); document.write( "\"-2x%2B2y=32\"
\n" ); document.write( "\"-x%2By=16\"\r
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\n" ); document.write( "\n" ); document.write( "Revising the system in two variables:
\n" ); document.write( "\"system%285x-2y=-5%2C-x%2By=16%29\"\r
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\n" ); document.write( "\n" ); document.write( "That still could be shown as
\n" ); document.write( "\"system%285x-2y=-5%2C-2x%2B2y=32%29\"
\n" ); document.write( "Add:
\n" ); document.write( "\"3x=27\"
\n" ); document.write( "\"highlight_green%28x=9%29\"
\n" ); document.write( "From that, you can solve for y and z.
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