Final answer:
The solution to the system of equations is (9/29, -28/29), which is not listed as one of the options.
Step-by-step explanation:
To solve the given system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
First, let's solve the first equation for y:
13x - 5 = y
y = 13x - 5
Now, substitute this value of y into the second equation:
16x + (13x - 5) = 4
Combine like terms:
29x - 5 = 4
Add 5 to both sides:
29x = 9
Divide both sides by 29:
x = 9/29
Now substitute this value of x into the first equation to find y:
y = 13(9/29) - 5
y = 117/29 - 145/29
y = -28/29
Therefore, the solution to the system of equations is (9/29, -28/29), which is not listed as one of the options. So none of the options (a), (b), or (c) are correct.