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.

4x — 3y + 4 = 0

4x + 3y — 20 = 0

The given equation is

4x – 3y = – 4

and 4x + 3y = 20

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(), A(0) and D(5,0)

(∵, base = (5–(–1)) = 6)

= 12 sq.units