Slope-intercept form is
Writing these equations in this way, we get
Since the two equations have different slopes, they are not parallel. If they were parallel, there would be no intersection of the lines, and hence, no solution.
Also, they are not the same line (because they not not simplify to the same equation. If they did, there would be infinitely many solutions.
So, we realize there is only one solution. Generally, to find it, you set the two right sides equal (since both equal
Here, it is simpler. The