document.write( "Question 181261: The sum of two numbers is 43. Twice the larger number exceeds three times the smaller numner by 16. Find the number \n" ); document.write( "

Algebra.Com's Answer #135911 by eperette(173) $\"\"$ $\"About$

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x + y = 43
\n" ); document.write( "2y = 3x + 16\r
\n" ); document.write( "\n" ); document.write( "*****
\n" ); document.write( "x + y = 43
\n" ); document.write( "x +-x + y = 43 -x
\n" ); document.write( "0 + y = 43 - x
\n" ); document.write( "y = 43 - x\r
\n" ); document.write( "\n" ); document.write( "2y = 3x + 16
\n" ); document.write( "2(43 - x) = 3x + 16
\n" ); document.write( "2(43) + 2(-x) = 3x + 16
\n" ); document.write( "86 - 2x = 3x + 16
\n" ); document.write( "86 - 2x + 2x = 3x + 2x + 16
\n" ); document.write( "86 - 0 = 5x + 16
\n" ); document.write( "86 - 16 = 5x + 16 - 16
\n" ); document.write( "70 = 5x + 0
\n" ); document.write( "70/5 = 5x/5
\n" ); document.write( "14 = x\r
\n" ); document.write( "\n" ); document.write( "then
\n" ); document.write( "y = 43 -x
\n" ); document.write( "y = 43 - 14
\n" ); document.write( "y = 29\r
\n" ); document.write( "\n" ); document.write( ">>>>>>>CHECK>>>>>>
\n" ); document.write( "14 + 29 = 43\r
\n" ); document.write( "\n" ); document.write( "2(29)= 58
\n" ); document.write( "3(14)= 42
\n" ); document.write( "58 - 42 = 16\r
\n" ); document.write( "\n" ); document.write( "RIGHT\r
\n" ); document.write( "\n" ); document.write( "so the smallest number x=14 and the larger number y=29 \n" ); document.write( "

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