document.write( "Question 660812: The sum of two numbers is 24. Their difference is 4. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #411375 by KMST(5328)\"\" \"About 
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TRANSLATING WORDS INTO EQUATIONS:
\n" ); document.write( "Let the two numbers be \"x\" and \"y\" with \"x%3Ey\".
\n" ); document.write( "\"The sum of two numbers is 24\" translates as\"x%2By=24\".
\n" ); document.write( "\"Their difference is 4\" translates as \"x-y=4\"
\n" ); document.write( "Those two equations make up the system of linear equations
\n" ); document.write( "\"system%28x%2By=24%2Cx-y=4%29\"
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\n" ); document.write( "SOLVING BY ELIMINATION:
\n" ); document.write( "Adding the two equations, we get
\n" ); document.write( "\"x%2By%2B%28x-y%29=24%2B4\" --> \"2x=28\" --> \"2x%2F2=28%2F2\" --> \"highlight%28x=14%29\"
\n" ); document.write( "Substituting that into \"x%2By=24\" we get
\n" ); document.write( "\"14%2By=24\" --> \"14%2By-14=24-14\" --> \"highlight%28y=10%29\"
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