Solve the following pair of linear equations graphically and shade the region bounded by these lines and x – axis; also find the area of the shaded region.

2x + 3y = —5

3x — 2y = 12

The given equation is

2x + 3y = – 5

and 3x – 2y = 12

Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.

Table for

Now, table for

Here, the lines are intersecting at a point C ().

The coordinates of the vertices of are C(),B(0) and D(4,0)

()