Final answer:
The calculations using the given linear equations do not yield a value for c that matches the multiple-choice options, indicating there may be a typo or mistake in the provided equations.
Step-by-step explanation:
The value of c in the linear system can be found by first solving the two equations with a single variable. The second equation given is 2a - 36 = -5, which can be rearranged to find a:
2a = 31
a = 15.5.
We substitute a into the first equation:
15.5 + b + c = 9,
which simplifies to:
b + c = -6.5.
Now, using the third equation, b + 2c = 11, we can solve the system of equations for c:
b + c = -6.5
b + 2c = 11
Subtracting the first equation from the second gives us:
c = 17.5.
However, this does not match the multiple-choice options provided, suggesting there may be a typo in the original equations. Given the options, we cannot determine the correct value of c unless the correct equations are provided.