Matt has $100 in a checking account and deposits $20 per month.
ben has $80 in a checking account and deposits $30 per month. will
the accounts ever have the same balance? explain.

Yes. In 2 months the accounts will have the same balance. Using the equations Y= 20x +100 for Matt, and y= 30x +80 for Ben where x represents the number of months and y is the total balance, you can plug in 2 months to see that y= 20(2)+100, y will equal 140 for Matt. With Ben’s equation, y=30(2)+80, y will equal 140 as well. This means, in 2 months, the accounts will have the same balance