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

x — y = 1

2x + y = 8

The given equation is

x – y = 1

and 2x + y = 8

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

Table for x – y = 1 or y = x – 1

Now, table for 2x + y = 8 or y = 2x – 8

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

The coordinates of the vertices of are C(), B(0, – 1) and E(0,8)