Solve the following pair of linear equations graphically and shade the region bounded by these lines and x – axis; 2x + y = 6; 2x - y + 2 = 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.

2x + y = 6

2x - y + 2 = 0

Answer 1

The given equation is

2x + y = 6

and 2x – y = – 2

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

Table for 2x + y = 6 or y = 2x – 6

Here, the lines are intersecting at a point C (1,4).

The coordinates of the vertices of △CAD are C(1,4), A(3,0) and D( – 1,0)