posted by kelly .
Use an elimination strategy to solve this linear system:
10x + 10y = 1030
5x + 5y = 135
These two lines are parallel and distinct, hence there are no solutions.
Show that this is the case by dividing the first one by two to get
Since both equations have 5x+5y on the left, and different values on the right, it shows that the two lines are parallel and distinct => no solutions.