document.write( "Question 155294: Could you show me the steps you take to solve:
\n" ); document.write( "The sum of two integers is thirty. Eight times the smaller integer is six more than five times the larger integer. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #114346 by stanbon(75887)\"\" \"About 
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The sum of two integers is thirty.
\n" ); document.write( "x + y = 30
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\n" ); document.write( "\n" ); document.write( "Eight times the smaller integer is six more than five times the larger integer.
\n" ); document.write( "8x = 5y +6
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\n" ); document.write( "Arrange for elimination:
\n" ); document.write( "8x + 8y = 240
\n" ); document.write( "8x - 5y = 6
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\n" ); document.write( "Find the integers.
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\n" ); document.write( "Subtract the 2nd equation from the 1st to get:
\n" ); document.write( "13y = 234
\n" ); document.write( "y = 18 (larger integer)
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\n" ); document.write( "Substitute into x + y = 30 to solve for \"x\":
\n" ); document.write( "x + 18 = 30
\n" ); document.write( "x = 12 (smaller integer)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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