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