Answer:
After 17 weeks
Step-by-step explanation:
We can create a system of equations for this problem, where y is the total amount of money in their banks and x is the amount of weeks passed.
Mr. Smith's equation will be .
Mr. Brown's equation will be .
We can now solve for x by using substitution.
Let's substitute Mr. Brown's equation into Mr. Smith's equation.
This get us .
We can now solve for x.
Let's subtract 12x from both sides:
And now let's subtract 21 from both sides:
Now we subtract 34 from both sides:
And divide both sides by -2.
Hope this helped!