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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.

Oct 1, 2022

#1
+1005
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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

Oct 2, 2022