Question 163817
You need to set up 2 linear equations with variables x and y where x represents the amount invested in account 1 and y represents the amount represented in account 2.

x + y = 15000

x*.04 + y*.03 = 550

Solve the first equation for x:

x = 15000 - y

Plug this into the second equation:

(15000 - y)*.04 + y*.03 = 550

Then, solve:

600 - .04*y + y*.03 = 550
600 - .01*y = 550
-.01*y = -50
y = 5000

So, going back to what we have for x:

x = 15000 - 5000 = 10000

So y = 5000, x = 10000