Question

Show graphically that each one of the following systems of equations is in-consistent (i.e. has no solution):
x – 2y = 6
3x – 6y = 0

Answer 1

There are no common points

Step-by-step explanation:

Given linear equations are  

x – 2y = 6 ---- (1)

3x – 6y = -5 ---- (2)

The above linear equations cannot be solved algebriacally

Co-ordinates for equation 1 will be (0, -3), (1, -5/2), (2, -1), (3, -3/2).

Co-ordinates for equation 2 will be (0, 5/6), (1, 4/3), (2, 11/6), (3, 7/3).

We find that the two lines when plotted on the graph will never intersect. There are no common points. So there are in-consistent. Hence there is no solution.