# How do you identify if the system #3x-2y=4# and #9x-6y=1# is consistent or inconsistent?

##### 1 Answer

Jan 2, 2015

Your system is inconsistent:

You can immediately guess that considering that the coefficients of

This tells you that your equations represent 2 parallel lines (they have the same slope but different

You can also check by isolating

and substituting in the second:

Your equations do not share a common solution!

Graphically: