For this case, the first thing we must do is define variables. We have then: x: governor of a state gains y: governor of b state earnings We now write the system of equations that models the problem. We have then: [tex]x + y = 286165
x = y + 54625[/tex] Solving the system of equations we have: [tex]y + 54625 + y = 286165
2y = 286165 - 54625
2y = 231540
y = 231540/2
y = 115770[/tex] Then, for x: [tex]x = y + 54625
x = 115770 + 54625
x = 170395 [/tex] Answer:governor of a state earns $ 170395 governor of b state earns $ 115770
