Solve the following pair of linear equations graphically and shade the region bounded by these lines and x – axis; 4x - 3y + 4 = 0; 4x + 3y - 20 = 0

Question

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

Answer 1

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.

Here, the lines are intersecting at a point C (2, 4).

The coordinates of the vertices of △CAD are C(2,4), A(-1,0) and D(5,0)