document.write( "Question 310600: a number is five less than another number the difference between twice the larger and three times the smaller number is six find the cube of the smaller number \n" ); document.write( "
Algebra.Com's Answer #222237 by ankor@dixie-net.com(22740)\"\" \"About 
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let x = \"a number
\n" ); document.write( "let y = \"another number\"
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"a number is five less than another number\"
\n" ); document.write( "x = y - 5 (x is the smaller number)
\n" ); document.write( "or
\n" ); document.write( "y = (x+5)
\n" ); document.write( ":
\n" ); document.write( "\"the difference between twice the larger and three times the smaller number is six\"
\n" ); document.write( "2y - 3x = 6
\n" ); document.write( "replace y with (x+5)
\n" ); document.write( "2(x+5) - 3x = 6
\n" ); document.write( "2x + 10 - 3x = 6
\n" ); document.write( "2x - 3x = 6 - 10
\n" ); document.write( "-x = -4
\n" ); document.write( " x = 4 is the smaller number
\n" ); document.write( ":
\n" ); document.write( "Find the cube of the smaller number
\n" ); document.write( "4^2 = 64
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement
\n" ); document.write( "\"the difference between twice the larger and three times the smaller number is six\"
\n" ); document.write( "y = 4 + 5 = 9
\n" ); document.write( "2(9) - 3(4) =
\n" ); document.write( "18 - 12 = 6 \n" ); document.write( "
\n" );