00:02
Here, we're given a system of equations, and we want to determine how many solutions it has.
00:06
So the key here is let's just write it in a similar way.
00:12
So for the first part, let's take the second equation here and multiply by negative 1.
00:18
That gives us negative x plus 2y equals negative 6, if i multiply everything by negative 1.
00:26
You'll notice that's exactly the same as the first equation, except for this 6 and negative 6 are different.
00:32
So that means they equal a different constant.
00:35
So that means that they're parallel lines that are not the same, which means there's no solution.
00:40
For the next one, we want to do kind of the same idea.
00:45
But i'm going to go ahead and solve this one for y...