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

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

Now, table for x – y = 1or y = x – 1

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

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

()

= 18 sq.units