Final answer:
To compute the area of the region enclosed by the given equations, we need to find the points of intersection between the graphs, and then calculate the area of the triangle and rectangle formed by these points.
Step-by-step explanation:
To compute the area of the region enclosed by the given equations, we need to find the points of intersection between the graphs. The equations are y = 3x, y = x, and x = 2. Taking the first two equations, we can set them equal to each other to find the x-coordinate of the point of intersection. 3x = x → 2x = 0 → x = 0. Therefore, the point of intersection is (0, 0). Now, we can find the area by calculating the area of the triangle formed by the points (0, 0), (2, 2), and (2, 4), and adding it to the area of the rectangle formed by the points (2, 0) and (0, 0).