document.write( "Question 1025283: The sum of two numbers is 9. Five times the smaller is 9 more than three times the larger. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #640582 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "The sum of two numbers is 9.
\n" ); document.write( "x + y = 9........(1)
\n" ); document.write( "Five times the smaller is
\n" ); document.write( "9 more than three times the larger.
\n" ); document.write( "5x = 9 + 3y
\n" ); document.write( "x = (9 + 3y)/5....(2)
\n" ); document.write( "Substitute (9 + 3y)/5
\n" ); document.write( "for x in Eq(1)
\n" ); document.write( "x + y = 9........(1)
\n" ); document.write( "(9 + 3y)/5 + y = 9
\n" ); document.write( "Multiply throughout by 5
\n" ); document.write( "9 + 3y + 5y = 45
\n" ); document.write( "Collect like terms
\n" ); document.write( "3y + 5y = 45 - 9
\n" ); document.write( "8y = 36
\n" ); document.write( "y = 4.5.
\n" ); document.write( "Substitute y = 4.5 in Eq(1)
\n" ); document.write( "x + y = 9 .......(1)
\n" ); document.write( "x + 4.5 = 9
\n" ); document.write( "x = 9 - 4.5
\n" ); document.write( "x = 4.5
\n" ); document.write( "Both integers = 4.5
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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