To determine if the point (3,8) is a solution to the simultaneous inequalities y>x+5 and y<=6x-3, we need to check if the point satisfies both inequalities.
For the first inequality y>x+5, we substitute the x and y values of the point (3,8):
8 > 3 + 5
8 > 8
The inequality is not true, so the point (3,8) is not in the solution set for y>x+5.
For the second inequality y<=6x-3, we substitute the x and y values of the point (3,8):
8 <= 6(3) - 3
8 <= 15
The inequality is true, so the point (3,8) is in the solution set for y<=6x-3.
Therefore, the correct answer is d. No, it is in the solution set for y<=6x-3, but on the line for y>x+5.