Answer
a. These are identical lines.
b. Since they are identical lines, the system has infinitely many solutions (all points on the line are solutions).
Work Step by Step
We have $6y + 4x = 6$ and $3y - 3 = -2x$
Rearrange the second equation as $3y+2x=3$
Now multiply both sides of the second equation by two (2):
We get $2(3y+2x)=2(3)$, which is $6y + 4x = 6$ (the same as the first equation).
Hence, we have the same two equations which correspond to the same line.