Answer: Area = 10 square units
2x = y + 2, i.e. y = 2x – 2: points (1, 0), (0, –2), (3, 4).
4x + 3y = 24: points (6, 0), (0, 8), (3, 4).
Plot both lines. They meet at (3, 4) and cut the X-axis at (1, 0) and (6, 0).
Base on X-axis = 6 – 1 = 5 units, height = y-coordinate of (3, 4) = 4 units.
Area = \(\tfrac12 \times 5 \times 4 = 10\) square units.