Answer
The solution to the system is $(950, 550)$.
Work Step by Step
Let x = account A and let y = account B.
$x+y=1500$
$0.05x + 0.04y =69.5$
The system is easy to solve using substitution. Substitute $x=1500 - y$ for $x$ in the second equation and solve for $y$.
$0.05(1500-y) + 0.04y =69.5$
$75-0.01y=69.5$
$y=550$
$\rightarrow x=950$
The solution to the system is $(950, 550)$