document.write( "Question 453272: The differences between two numbers equals 11. Twice the smaller plus three times the larger number is 123. What are the numbers. \n" ); document.write( "

Algebra.Com's Answer #311455 by mananth(16946) $\"\"$ $\"About$

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1 x + -1 y = 11 .............1
\n" ); document.write( "3 x + 2 y = 123 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 2
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "2x-2y=22
\n" ); document.write( "3x+2y=123
\n" ); document.write( "Add the two equations
\n" ); document.write( "5x=145
\n" ); document.write( "/5
\n" ); document.write( "x=29
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "x-y=11
\n" ); document.write( "29-y=11
\n" ); document.write( "-y=11-29
\n" ); document.write( "-1y=-18
\n" ); document.write( "y=18
\n" ); document.write( " \n" ); document.write( "

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