First we are going to express both equation in terms of 
to compare their slopes:
For our first equation:
For our second equation:
So now we have our system of equations in terms of y:
Notice that the slope, the coefficient of
, in both equations is the same: 1, and if tow linear equations have the same slope, they are parallel.
We can conclude that we can classify the system of equations as parallel.
For our first equation:
For our second equation:
So now we have our system of equations in terms of y:
Notice that the slope, the coefficient of
We can conclude that we can classify the system of equations as parallel.