Answer:
(a, b) = (-3, -2)
Explanation:
You want to solve the system of equations ...
Elimination
We notice the coefficients of b are opposites, so adding the two equations will eliminate b:
(6a -5b) +(2a +5b) = (-8) +(-16)
8a = -24 . . . . . . . . simplify
a = -3 . . . . . . . . . divide by 8
Substituting this value into the second equation, we have ...
2(-3) +5b = -16
5b = -10 . . . . . . . . . . add 6
b = -2 . . . . . . . . . divide by 5
The solution is a=-3, b=-2.
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Additional comment
The attached graph solves the equations using a=x, b=y.