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You can put this solution on YOUR website!
Let x = one number
\n" ); document.write( "Let y = a second number
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement;
\n" ); document.write( "(where you see the word \"is\", you can usually put an = sign):
\n" ); document.write( ":
\n" ); document.write( "\"The sum of two numbers is 6 less than twice the first number.
\n" ); document.write( " x + y = 2x - 6
\n" ); document.write( "Simplify:
\n" ); document.write( " y = 2x - x - 6
\n" ); document.write( " y = x - 6
\n" ); document.write( ":
\n" ); document.write( "\"Their difference is 10 less than four times the second number.
\n" ); document.write( "x - y = 4y - 10
\n" ); document.write( "Simplify
\n" ); document.write( "x = 4y + y - 10
\n" ); document.write( "x = 5y - 10
\n" ); document.write( ":
\n" ); document.write( " Find each of the numbers
\n" ); document.write( ":
\n" ); document.write( "Substitute (x-6) for y (from the 1st equation); find x:
\n" ); document.write( "x = 5(x-6) - 10
\n" ); document.write( "x = 5x - 30 - 10
\n" ); document.write( "x = 5x - 40
\n" ); document.write( "+40 = 5x - x
\n" ); document.write( "40 = 4x
\n" ); document.write( "x = +10
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation
\n" ); document.write( "y = 10 - 6
\n" ); document.write( "y = 4
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions using the statement:
\n" ); document.write( "\"Their difference is 10 less than four times the second number.\"
\n" ); document.write( "10 - 4 = 4(4) - 10
\n" ); document.write( "6 = 16 - 10; confirms our answer
\n" ); document.write( ":
\n" ); document.write( "How about this? Did it seem logical, and do you think you can handle these kind of problems now? \n" ); document.write( "