Solve the system by graphing. write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2 me need good grades

ANSWER

The solution is where the two graphs intersect, which is


EXPLANATION

The given system of equations are

and



We need to graph the two equations.

Let us graph


first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When








So this gives us the ordered pair,



When

we get,








This also gives the ordered pair



We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line



We again find the intercepts and plot them.

When






This gives the ordered pair



Also, when


then we have,







Then we again have the ordered pair,



We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is


You will get good grades so don't worry much.