To determine if $(-1, 5)$ is a solution to the given system of equations, substitute $x = -1$ and $y = 5$ into each equation and verify if both equations are satisfied.

The system of equations is:

1. $17x + 5y = 8$
2. $14x + 2y = -4$

Step 1: Substitution into the first equation

Substitute $x = -1$ and $y = 5$ into $17x + 5y = 8$: $17(-1) + 5(5) = 8$ $-17 + 25 = 8$ $8 = 8 \quad \text{(True!)}$

Step 2: Substitution into the second equation

Substitute $x = -1$ and $y = 5$ into $14x + 2y = -4$: $14(-1) + 2(5) = -4$ $-14 + 10 = -4$ $-4 = -4 \quad \text{(True!)}$

Conclusion:

Since both equations are satisfied, $(-1, 5)$ is a solution to the system of equations. You should select "yes."

Would you like me to explain the process further or assist with any related questions?

Related Questions:

1. What are the steps to verify solutions for other systems of equations?
2. How can you solve a system of equations graphically?
3. What are other methods to solve a system of equations, such as substitution or elimination?
4. How do you verify a solution to a system of three equations?
5. Can there be no solution or infinite solutions to a system of equations? How do you determine that?

Tip:

When verifying solutions for systems of equations, always substitute the values into both equations to ensure they hold true.