Answer
$71,000$ for master’s degree and $55,000$ for bachelor’s degree.
Work Step by Step
Let the average yearly salary for a doctorate’s degree be\[D\]. Let the average yearly salary for a bachelor’s degree be\[B\]. From the given first condition, we get the linear equation like,
\[D=2B-39000\] (I)
From the second condition, we get the linear equation like,
\[D+B=126000\] (II)
By observing these both equations which are simultaneous linear equations,we can solve by substituting \[D\]in equation (II). By substituting we get,
\[\begin{align}
& 2B-39000+B=126000 \\
& 3B=165000 \\
& B=55000
\end{align}\]
Substituting \[B=55000\] in equation (II) we get,
\[\begin{align}
& D+55000=126000 \\
& D=71000
\end{align}\]
By solving both equations, we get the average yearly salary for a doctorate degree is $71,000$ and for a bachelor’s degree is $55,000.$
