You can

put this solution on YOUR website!
Start with the given system of equations:

In order to graph these equations, we

**must** solve for y first.

Let's graph the first equation:

Start with the first equation.

Subtract

from both sides.

Divide both sides by

to isolate

.

Rearrange the terms and simplify.

Now let's graph the equation:

Graph of

.

-------------------------------------------------------------------

Now let's graph the second equation:

Start with the second equation.

Subtract

from both sides.

Divide both sides by

to isolate

.

Rearrange the terms and simplify.

Now let's graph the equation:

Graph of

.

-------------------------------------------------------------------

Now let's graph the two equations together:

Graph of

(red). Graph of

(green)

From the graph, we can see that the two lines intersect at the point

. So the solution to the system of equations is

. This tells us that the system of equations is consistent and independent.