document.write( "Question 830299: The sum of two numbers, x and y is 86. Their difference is 38. Find the numbers.\r
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Algebra.Com's Answer #500541 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "The sum of two numbers, x and y is 86. Their difference is 38. Find the numbers.\r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "Let x be the greater number.\r\n" );
document.write( "Let y be the lesser number.\r\n" );
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document.write( "The sum of the two numbers is 86. The sum of x and y is x + y. This is equal to 86. We have\r\n" );
document.write( "x + y = 86\r\n" );
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document.write( "The difference between x and y is x - y. The difference equals 38, so\r\n" );
document.write( "x - y = 38\r\n" );
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document.write( "Therefore the system of equations is \r\n" );
document.write( "x + y = 86\r\n" );
document.write( "x - y = 38\r\n" );
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document.write( "Use the elimination method to solve for x. Add the first and second equation together.\r\n" );
document.write( "x + y = 86\r\n" );
document.write( "x - y = 38\r\n" );
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document.write( "2x = 124\r\n" );
document.write( "x = 62\r\n" );
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document.write( "The first number is 62.\r\n" );
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document.write( "Substitute 62 for x in the first equation.\r\n" );
document.write( "x + y = 86\r\n" );
document.write( "(62) + y = 86\r\n" );
document.write( "y = 86 - 62\r\n" );
document.write( "y = 24\r\n" );
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document.write( "The numbers are 62 and 24.\r\n" );
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document.write( "Check your answer using the words of the problem.\r\n" );
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document.write( "\"The sum of two numbers is 86.\" Yes, the sum of 62 and 24 is 86. Check!\r\n" );
document.write( "\"Their difference is 38.\" Yes, 62 minus 24 is 38. Check!\r\n" );
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document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" );
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document.write( "Good luck with your math,\r\n" );
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document.write( "Mrs. F\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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