Solve the equation graphically: x + 3y = 6 and 2x + 3y = 12.

Solution: 

A consistent pair of linear equations in two variables has only one solution.

To check the pair of equations graphically, Let us find the values of x and y to plot on graphs.

⇒ From equation (1)

When x = 0; y = 2 and x = 6; y = 0

⇒ From equation (2)

When x = 0; y = 4 and x = 6; y = 0

Solve the equation graphically: x + 3y = 6 and 2x + 3y = 12.

Summary:

The pair of equations x + 3y = 6 and 2x + 3y = 12 is consistent and has only one solution.