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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( "One number is nine less than a second number. Five times the first is 9 more than 3 times the second.\r\n" );
document.write( "Identify the two numbers.\r\n" );
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document.write( "A solution:\r\n" );
document.write( "Let x be the first number.\r\n" );
document.write( "Let y be the second number.\r\n" );
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document.write( "Now write two equations using the information in the problem.\r\n" );
document.write( "{1}\r\n" );
document.write( "One number is nine less than a second number. \r\n" );
document.write( "In algebra, we write this equation as\r\n" );
document.write( "x = y - 9\r\n" );
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document.write( "Five times the first is 9 more than 3 times the second.\r\n" );
document.write( "In algebra, the translates to\r\n" );
document.write( "5x = 3y + 9\r\n" );
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document.write( "Now we have a system of two equations. We'll solve the system using the elimination method.\r\n" );
document.write( "Multiply every term in the first equation by -5.\r\n" );
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document.write( "x = y - 9 --------------> -5x = -5y + 45\r\n" );
document.write( "5x = 3y + 9 -----------> 5x = 3y + 9\r\n" );
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document.write( "Add the two equations together. Notice that -5x + 5x = 0, so we no longer have an x-term.\r\n" );
document.write( "0 = -2y + 54\r\n" );
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document.write( "Add 2y to both sides of the equation.\r\n" );
document.write( "2y = 54\r\n" );
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document.write( "Divide both sides of the equation by 2.\r\n" );
document.write( "y = 27\r\n" );
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document.write( "The second number y is 27.\r\n" );
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document.write( "Substitute 27 for y in the first equation.\r\n" );
document.write( "x = y - 9\r\n" );
document.write( "x = (27) - 9\r\n" );
document.write( "x = 18\r\n" );
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document.write( "The first number x is 18.\r\n" );
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document.write( "Check your work by substituting this solution into the original problem.\r\n" );
document.write( "One number is nine less than a second number. \r\n" );
document.write( "18 is nine less than 27. (True!)\r\n" );
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document.write( "Five times the first is 9 more than 3 times the second.\r\n" );
document.write( "5 times 18 is 9 more than 3 times 27.\r\n" );
document.write( "5 times 18 is 90; 3 times 27 is 81. 90 is 9 more than 81. (True!)\r\n" );
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document.write( "Everything checks out. Feel free to email me if you have questions about the solution.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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