Final answer:
No, (1, 9) is not a solution to the system of inequalities.
Step-by-step explanation:
To determine if (1, 9) is a solution to the system of inequalities y > x + 10 and y ≥ 6x + 3, we substitute the values of x and y into each inequality. For the first inequality, we have 9 > 1 + 10, which simplifies to 9 > 11. Since this is false, (1, 9) is not a solution to the first inequality. For the second inequality, we have 9 ≥ 6(1) + 3, which simplifies to 9 ≥ 9. Since this is true, (1, 9) is a solution to the second inequality. Therefore, (1, 9) is not a solution to the system of inequalities.