document.write( "Question 491545: one number is 5 less than another. if 5 the larger is subtracted form 8 times the smaller, the result is 11 \n" ); document.write( "

Algebra.Com's Answer #334680 by oberobic(2304) $\"\"$ $\"About$

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List what you're given:
\n" ); document.write( "x = one number
\n" ); document.write( "y = another number
\n" ); document.write( "We can define x as the larger number, so
\n" ); document.write( "y = x-5
\n" ); document.write( "or
\n" ); document.write( "x = y+5
\n" ); document.write( ".
\n" ); document.write( "If 5 times the larger number is subtracted from 8 times the smaller number, the result is 11,
\n" ); document.write( "which can be written as:
\n" ); document.write( "8y - 5x = 11
\n" ); document.write( ".
\n" ); document.write( "Substitute for y.
\n" ); document.write( "8(x-5) - 5x = 11
\n" ); document.write( "8x -40 -5x = 11
\n" ); document.write( "3x -40 = 11
\n" ); document.write( "3x = 51
\n" ); document.write( "x = 17
\n" ); document.write( ".
\n" ); document.write( "y = x-5
\n" ); document.write( "y = 17-5
\n" ); document.write( "y =12
\n" ); document.write( ".
\n" ); document.write( "Check by substituting these values.
\n" ); document.write( "8y - 5x = ??
\n" ); document.write( "8(12) - 5(17) = ??
\n" ); document.write( "96 - 85 = 11
\n" ); document.write( ".
\n" ); document.write( "Answer:
\n" ); document.write( "The two numbers are 12 and 17.
\n" ); document.write( ".
\n" ); document.write( "Done.
\n" ); document.write( " \n" ); document.write( "

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