Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution) :

2y − x = 9
6y − 3x = 21

The given equations are

Putting in equation we get:

Putting in equationwe get:

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

Putting in equation we get:

Putting in equationwe get:

Use the following table to draw the graph.

Draw the graph by plotting the two points from table.

Here two lines are parallel and so don’t have common points

Hence the given system of equations has no solution.