Solving Multiple Equations by Graphing Examples

Solve this system of equations for x and y:

The first line is simple to graph. It's just a horizontal line passing through the y-axis at -8.

The second line has a y-intercept of 4 and a slope of -4 (or -4/1).

These two lines meet at the point (3, -8), so that's our solution.

Solve this system of equations for x and y:

The first line is already in slope-intercept form, so we can easily plot it with a y-intercept of 2 and a slope of ½.

The second line needs to be solved for y in order to be in slope-intercept form. We've got this.

	add 3x on each side
	rearrange the right-hand side

Now we can graph it with a y-intercept of 2 and a slope of 3 (or 3/1).

They meet at the point (0, 2)

Solve this system of equations:

This one is pretty chill. If you really think about it, you won't even need to graph it. However, if you want to see what it looks like, here it is:

As you can see, they meet at the point (5, -1). Not a big shocker.