document.write( "Question 58036: The sum of two numbers is twenty. Three times the smaller is equal to twice the larger. Find the two numbers. \n" ); document.write( "

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\n" ); document.write( "x+y=20 [The sum of two numbers is twenty]
\n" ); document.write( "3x=2y [Three times the smaller is equal to twice the larger]
\n" ); document.write( ".
\n" ); document.write( "x=20-y [Solve for x]
\n" ); document.write( "3(20-y)=2y [Substitute (x=20-y) into the second equation]
\n" ); document.write( "60-3y=2y [Solve for y]
\n" ); document.write( "60=5y
\n" ); document.write( "60/5=y
\n" ); document.write( "12=y
\n" ); document.write( ".
\n" ); document.write( "x+y=20 [Plug (y=12) back into either of the original equations]
\n" ); document.write( "x+12=20 [solve for x]
\n" ); document.write( "x=8
\n" ); document.write( ".
\n" ); document.write( "Check by plugging the values of x and y into either equation.
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