# How do you tell whether the system #9x-9y=27# and #9y-9x= -27#has no solution or infinitely many solutions?

##### 1 Answer

Apr 25, 2016

They have infinitely many solutions.

#### Explanation:

The two equations are

In fact second equation can be derived from first by multiplying it by

Hence essentially the equations are same. In other words the lines have all the points satisfying both the equations, wherever

They have infinitely many solutions.