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 $(950, 550)$