Landry is opening two savings accounts. he is opening the first account with an initial deposit of $500. the account will compound continuously each year at a rate of 3%.

he is opening the second account with an initial deposit of $300. the account will compound continuously each year at a rate of 5%.

landry would like to know how long it will take for the balance of the two accounts to be equal.

create a system of equations to model the situation above, and use it to determine if there are any solutions. if there are any solutions, determine if they are viable or not.