We need to check whether each ordered pair satisfies the given equation:

$3x - \frac{y}{4} = 11$

For the first ordered pair $(3, -8)$:

Substitute $x = 3$ and $y = -8$ into the equation:

$3(3) - \frac{-8}{4} = 11$ $9 + 2 = 11$ $11 = 11$

Since the equation holds true, $(3, -8)$ is a solution.

For the second ordered pair $(4, 4)$:

Substitute $x = 4$ and $y = 4$ into the equation:

$3(4) - \frac{4}{4} = 11$ $12 - 1 = 11$ $11 = 11$

Since this equation also holds true, $(4, 4)$ is a solution.

Conclusion:

Both ordered pairs are solutions. Thus, the correct response is:

Both ordered pairs are solutions.

Would you like more details or have any questions? Here are some related questions:

1. How do you solve linear equations with fractions?
2. What is the general method for verifying if an ordered pair is a solution to an equation?
3. How can you rewrite equations to eliminate fractions?
4. What is the difference between an ordered pair and a solution set?
5. How do systems of equations relate to solving for multiple ordered pairs?

Tip: Always simplify equations where possible to make the calculation easier, especially when fractions are involved.