document.write( "Question 517428: The difference of the squares of two numbers is 10. The difference of the two numbers is 2. What is their sum? \n" ); document.write( "

Algebra.Com's Answer #344766 by stanbon(75887) $\"\"$ $\"About$

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The difference of the squares of two numbers is 10.
\n" ); document.write( "The difference of the two numbers is 2. What is their sum?
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\n" ); document.write( "x^2-y^2 = 10
\n" ); document.write( "x-y = 2
\n" ); document.write( "---
\n" ); document.write( "Divide the 1st equation by the 2nd equation to get:
\n" ); document.write( "x+y = 5
\n" ); document.write( "----
\n" ); document.write( "Solve the following system:
\n" ); document.write( "x-y = 2
\n" ); document.write( "x+y = 5
\n" ); document.write( "----------
\n" ); document.write( "Add and solve for \"x\":
\n" ); document.write( "2x = 7
\n" ); document.write( "x = 7/2
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\n" ); document.write( "Substitute for \"x\" and solve for \"y\":
\n" ); document.write( "x + y = 5
\n" ); document.write( "(7/2) + y = 5
\n" ); document.write( "y = (10/2)-(7/2)
\n" ); document.write( "y = 3/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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