For the first part, we can write
[tex]B+48430=A[/tex]where A is the salary for governor A and B is the salary for governor B.
From the second part, we can write
[tex]A+B=279100[/tex]Then, we have 2 equations in 2 unknows.
Solving by substitution method.
If we substitute the firs equation into the second one ,we get
[tex](B+48430)+B=279100[/tex]which gives
[tex]2B+48430=279100[/tex]If we move 48430 to the right hand side as -48430, we have
[tex]\begin{gathered} 2B=279100-48430 \\ 2B=230670 \end{gathered}[/tex]then, B is equal to
[tex]\begin{gathered} B=\frac{230670}{2} \\ B=115335 \end{gathered}[/tex]Finally, by substituting this result into our first equation, we obtain
[tex]\begin{gathered} A+115335=279100 \\ A=279100-115335 \\ A=163765 \end{gathered}[/tex]This means that governo A earns $163,765 and gobernor B earns $115,335
