Answer
Engineering $=\$76$ thousand.
Accounting $=\$63 $ thousand.
Marketing $=\$57 $ thousand.
Work Step by Step
Let the average yearly earning of marketing major be $=x$ thousands.
The average yearly earning of engineering majors $=x+\$19$ thousands.
The average yearly earning of accounting majors $=x+\$6$ thousands.
Total average yearly earning $=\$196$ thousand
Or we can write
$\Rightarrow x+x+19+x+6=196$
Simplify.
$\Rightarrow 3x+25=196$
Subtract $25$ from both sides.
$\Rightarrow 3x+25-25=196-25$
Simplify.
$\Rightarrow 3x=171$
Divide by $3$ on both sides.
$\Rightarrow \frac{3x}{3}=\frac{171}{3}$
Simplify.
$\Rightarrow x=57$
Hence, the average yearly earning of marketing major is $=\$57$ thousand.
The average yearly earning of engineering majors $=\$57+\$19 =\$76$ thousand.
The average yearly earning of accounting majors $=\$57+\$6=\$63$ thousand.