Solve the following system of linear equations graphically.

3x + 2y — 4 = 0

2x — 3y — 7 = 0

Shade the region bounded by the lines and the x – axis.

The given equation is

3x + 2y = 4

and 2x – 3y = 7

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

Table for

Now, table for

Here, the lines intersecting at a point C i.e. (2, – 1).