Solve the following pair of linear equations graphically and shade the region bounded by these lines and y – axis. x + 2y - 7 = 0; 2x - y - 4 = 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.

x + 2y - 7 = 0
2x - y - 4 = 0

Answer 1

The given equation is

x + 2y = 7

and 2x – y = 4

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

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

The coordinates of the vertices of △CBD are C(3,2),B(0, 7/2) and E(0, – 4)