document.write( "Question 434961: the difference of two numbers is 5. when twice the larger is subtracted from 6 times the smaller, the difference is 26. find each number. \n" ); document.write( "

Algebra.Com's Answer #301152 by mananth(16946) $\"\"$ $\"About$

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1 x + -1 y = 5 .............1
\n" ); document.write( "-2 x + 6 y = 26 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 6
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "6 x -6 y = 30
\n" ); document.write( "-2 x + 6 y = 26
\n" ); document.write( "Add the two equations
\n" ); document.write( "4 x = 56
\n" ); document.write( "/ 4
\n" ); document.write( "x=14
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "x -1 y = 5
\n" ); document.write( "14 -1 y = 5
\n" ); document.write( " -1 y = 5-14
\n" ); document.write( " -1 y = -9
\n" ); document.write( " y = 9 \n" ); document.write( "

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