document.write( "Question 147860: The difference of two numbers is 77. The second is 7 less than 5 times the first. What are the two numbers?\r
\n" ); document.write( "\n" ); document.write( "Can some one please help out with this question?
\n" ); document.write( "v/r
\n" ); document.write( "Jess
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Algebra.Com's Answer #108233 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let the two numbers be x & y
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"The difference of two numbers is 77.\"
\n" ); document.write( " x - y = 77
\n" ); document.write( "or
\n" ); document.write( " x = (y + 77)
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\n" ); document.write( "\" The second is 7 less than 5 times the first.\"
\n" ); document.write( "y = 5x - 7
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\n" ); document.write( "What are the two numbers?
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\n" ); document.write( "Substitute (y+77) for x in the above equation, find y:
\n" ); document.write( "y = 5(y+77) - 7
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\n" ); document.write( "y = 5y + 385 - 7
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\n" ); document.write( "y - 5y = 378
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\n" ); document.write( "-4y = 378
\n" ); document.write( "y = \"378%2F%28-4%29\"
\n" ); document.write( "y = -94.5 is the 2nd number
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\n" ); document.write( "then
\n" ); document.write( "x = -94.5 + 77
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\n" ); document.write( "x = -17.5 is the 1st number
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"The second is 7 less than 5 times the first.\"
\n" ); document.write( " -94.5 = 5(-17.5) - 7
\n" ); document.write( " -94.5 = -87.5 - 7; confirms our solutions
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