You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance? (Hint: Write a system for the situation and solve)

You = 22 + 11.50w

Cousin = 218 - 13w

it wants to know what w equals when You = Cousin

or

22 + 11.50w = 218 - 13w

first we can add 13w to both sides

24.50w + 22 = 218

then we can subtract 22 from both sides

24.50w = 196

then we divide both sides by 24.50

so

w = 196 / 24.50 = 8

therefore it would take 8 weeks for the accounts to have the same balance