Solve the following pair of linear equations graphically and shade the region bounded by these lines and y – axis. 3x + y - 11 = 0; x - y - 1 = 0

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.

3x + y - 11 = 0

x - y - 1 = 0

Answer 1

The given equation is

3x + y = 11

and x – y = 1

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

Table for 3x + y = 11 or y = 3x – 11

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

The coordinates of the vertices of △CBE are C(3,2), B(0, 11) and E(0, – 1)