document.write( "Question 338220: Solve the problem. The difference between two numbers is 4. Two times the smaller number minus four times the larger is -28. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #242431 by katealdridge(100) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is a systems of equations problem.
\n" ); document.write( "Let x=the larger smaller and y=the smaller number.
\n" ); document.write( " $\"x-y=4\"$ and $\"2y-4x=-28\"$ Solve the first equation for x, so that you get x=y+4. This can now be substituted for x in the second equation.
\n" ); document.write( " $\"2y-4%28y%2B4%29=-28\"$ Solve for y and this will give you the smaller number.
\n" ); document.write( " $\"2y-4y-16=-28\"$ distributing the -4
\n" ); document.write( " $\"-2y-16=-28\"$ combining like terms
\n" ); document.write( " $\"-2y=-12\"$ add 16 to both sides
\n" ); document.write( " $\"y=6\"$ dividing both sides by -2
\n" ); document.write( "the smaller number is six, making the larger number 10. You can check this by substituting 10 and 6 in the second equation to see if you get -28.
\n" ); document.write( "If you have any further questions please check out my facebook page: Kate Calendrillo, tutor. I'd be happy to answer your questions. \n" ); document.write( "

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