Question

Draw the graph of the equations x- y + 1 = 0 and 3x + 2y -12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the r-axis, and shade the triangular region.

Answer 1

From equation (ii) we have

ABC is the requiled (shaded) region and point of intersection is (2, 3).
.'. The vertices o{ the triangle are (- 1, 0), (4, 0), (2, 3).