The ordered pair (x,y) = (8,6) is the solution of the following system of linear equations
\(\begin{align*} x &= \frac{1}{10}y + a, \\ y &= \frac{1}{10}x + b. \end{align*}\)
Find the value of a+b.
Plug in 8 and 6:
8 = 6/10 + a
6 = 8/10 + b
80/10 - 6/10 = a
60/10 - 8/10 = b
74/10 + 52/10 = a + b
a + b = 12.6
