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

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

Now, table for 2x – y = – 2 or y = 2x + 2

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

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

()

= 8 sq.units