document.write( "Question 478004: The sum of two numbers is 248. Their difference is 64. find the number. \n" ); document.write( "
Algebra.Com's Answer #327532 by Theo(13342)\"\" \"About 
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x + y = 264
\n" ); document.write( "x - y = 64
\n" ); document.write( "use first equation to solve for y and then substitute that value for y in the second equation.
\n" ); document.write( "x + y = 264
\n" ); document.write( "y = 264 - x
\n" ); document.write( "substitute for y in the second equation to get:
\n" ); document.write( "x - (264 - x) = 64
\n" ); document.write( "remove parentheses to get:
\n" ); document.write( "x - 264 + x = 64
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "2x - 264 = 64
\n" ); document.write( "add 264 to both sides of the equation to get:
\n" ); document.write( "2x = 328
\n" ); document.write( "divide both sides of the equation by 2 to get:
\n" ); document.write( "x = 164
\n" ); document.write( "substitute for x in the first equation to get:
\n" ); document.write( "x + y = 264 becomes:
\n" ); document.write( "164 + y = 264
\n" ); document.write( "subtract 164 from both sides of the equation to get:
\n" ); document.write( "y = 264 - 164 = 100
\n" ); document.write( "you have:
\n" ); document.write( "x = 164
\n" ); document.write( "y = 100
\n" ); document.write( "substitute in both original equations to confirm the answer is good.
\n" ); document.write( "first equation is x + y = 264
\n" ); document.write( "substituting for x and y gets:
\n" ); document.write( "164 + 100 = 264 which is true
\n" ); document.write( "second equation is x - y = 64
\n" ); document.write( "substituting for x and y gets:
\n" ); document.write( "164 - 100 = 64
\n" ); document.write( "both original equations are true confirming the value of 164 for x and 100 for y are good.\r
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