Solve the following pair of linear equations graphically and shade the region bounded by these lines and x – axis; 2x + 3y = -5; 3x - 2y = 12

Question

Solve the following pair of linear equations graphically and shade the region bounded by these lines and x – axis; also find the area of the shaded region.

2x + 3y = -5

3x - 2y = 12

Answer 1

The given equation is

2x + 3y = – 5

and 3x – 2y = 12

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 (2, -3).

The coordinates of the vertices of △CBD are C(2, -3),B(-5/20) and D(4,0).