Solve the following pair of linear equations graphically and shade the region bounded by these lines and y – axis.x - y = 1; 2x + y = 8

Question

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

Answer 1

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

Here, the lines are intersecting at a point C (3,2).

The coordinates of the vertices of △CBE are C(3,2), B(0, – 1) and E(0,8)