The point (0, 5) is a solution that satisfies both y > -1/2x + 4 and y > 2/3x + 1.
To identify the point that satisfies both inequalities y > -1/2x + 4 and y > 2/3x + 1, we need to find the overlapping region of the shaded areas.
For y > -1/2x + 4, the shading would be above the line, indicating all points where y is greater than the expression -1/2x + 4.
Similarly, for y > 2/3x + 1, the shading would be above the line, representing points where y is greater than 2/3x + 1.
The overlapping region would be the area above both lines, which means we're looking for a point in the upper region where both inequalities are satisfied.
Analyzing the slopes of the lines, we can determine that the point (0, 5) lies in the overlapping region and satisfies both inequalities.