to answer this we can start by making 2 expressions with variables for account a and b
x can represent the number of months and y can represent the account balance
account a: y=35x + 150
this is because the balance starts at $150 and increases by $35 every month
account b: y=15x+450
this is because the balance starts at $450 and increases by $15 every month
now we use substitution (making equations equal to each other) to solve for x, the number of months it will take for the balances to be equal
35x+150=15x+450
-150 -150
35x=15x+300
-15x -15x
20x=300
/20 /20
x=15
On month 15, the balances of both accounts will be equal.