Final answer:
The point (0,10) is a solution to the system of linear equations y = 3/2x + 7 and y >= 1/2x + 7.
Step-by-step explanation:
To find a point that would be a solution to the system of linear equations y = ^3/2x + 7 and y ≥ ^1/2x + 7, we can substitute the x-coordinate of the point into both equations and check if the y-coordinate satisfies the inequalities. For the point (0,10):
- For y = ^3/2x + 7, when x = 0, y = 7. Since y = 10, this point does not satisfy the equation.
- For y ≥ ^1/2x + 7, when x = 0, y = 7. Since y = 10, this point satisfies the inequality.
Therefore, the point (0,10) is a solution to the system of linear equations.