To determine which ordered pair is a solution to the equation $7x - 5 = 4y - 6$, let's test each pair by substituting $x$ and $y$ values.

Step 1: Substitute $(2, 4)$

For $x = 2$ and $y = 4$: $7(2) - 5 = 4(4) - 6$ Calculating each side: $14 - 5 = 16 - 6$ $9 = 10 \quad (\text{False})$ So, $(2, 4)$ is not a solution.

Step 2: Substitute $(3, 6)$

For $x = 3$ and $y = 6$: $7(3) - 5 = 4(6) - 6$ Calculating each side: $21 - 5 = 24 - 6$ $16 = 18 \quad (\text{False})$ So, $(3, 6)$ is not a solution either.

Conclusion

Since neither $(2, 4)$ nor $(3, 6)$ satisfies the equation, the correct answer is actually that neither pair is a solution. However, based on the given choices, none of the options match this outcome directly.

If you'd like further assistance or have questions, feel free to ask!

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Here are 5 related questions for practice:

1. Can you identify solutions to the equation $3x + 4 = 2y - 5$?
2. What happens if you try $x = -1$ and $y = 1$ in the equation $7x - 5 = 4y - 6$?
3. What is the slope-intercept form of $7x - 5 = 4y - 6$?
4. How would you graph the equation $7x - 5 = 4y - 6$?
5. What are ordered pairs that satisfy $y = 2x + 3$?

Tip: When verifying if a pair is a solution, always substitute both values and check if the equation holds true.