The problem asks whether the point $(4, 8)$ is a solution to the given system of equations:

1. $17x - 4y = 15$
2. $15x - 7y = 4$

To determine if $(4, 8)$ is a solution, substitute $x = 4$ and $y = 8$ into both equations and verify whether they hold true.

Step 1: Substitution into the first equation

$17x - 4y = 15$ Substitute $x = 4$ and $y = 8$: $17(4) - 4(8) = 15$ $68 - 32 = 15$ $36 \neq 15$

Since the first equation does not hold, $(4, 8)$ is not a solution to the system of equations.

Conclusion:

The answer is "No". The point $(4, 8)$ does not satisfy the system of equations.

Would you like further clarification or detailed steps?
Here are 5 related questions to expand on this topic:

1. How do you determine if a point is a solution to a system of equations?
2. What methods can be used to solve a system of equations (e.g., substitution, elimination)?
3. What is the geometric interpretation of solving a system of linear equations?
4. How do you test multiple points to see which one satisfies a system of equations?
5. What is the significance of consistent and inconsistent systems?

Tip: Always substitute carefully to avoid small mistakes when verifying solutions to equations!