Question

Solve the following system of linear equations graphically: 2x — 3y = 1, 3x — 4y = 1 Does the point (3, 2) lie on any of the lines? Write its equation.

Answer 1

The given equation is

2x – 3y = 1 and 3x – 4y = 1

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

Here, the lines intersecting at point F i.e. ( – 1, – 1)

Yes, point (3,2) lie on the line 3x – 4y = 1