document.write( "Question 516749: The difference between two numbers is 20. Five times the smaller is the same as 4 less than twice larger. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #344474 by mananth(16946) $\"\"$ $\"About$

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bigger number -----x
\n" ); document.write( "smaller nuber -----y\r
\n" ); document.write( "\n" ); document.write( "x-y =20..........1
\n" ); document.write( "5y=2x-4
\n" ); document.write( "5y-2x=-4.........2\r
\n" ); document.write( "\n" ); document.write( "solve for x & y\r
\n" ); document.write( "\n" ); document.write( "1 x -1 y = 20 .............1
\n" ); document.write( "-2 x + 5 y = -4 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 5
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "5 x -5 y = 100
\n" ); document.write( "-2 x 5 y = -4
\n" ); document.write( "Add the two equations
\n" ); document.write( "3 x = 96
\n" ); document.write( "/ 3
\n" ); document.write( "x = 32
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + -1 y = 20
\n" ); document.write( "32 + -1 y = 20
\n" ); document.write( " -1 y = 20
\n" ); document.write( " -1 y = -12
\n" ); document.write( " y = 12
\n" ); document.write( " \n" ); document.write( "

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