The graph shows the system y=2x+1 y=2x^2+1 which ordered pairs are solutions of the system? (0,0) and (0,1) (1,0) and (1,3) (0,0) and (1,0) (0,1) and (1,3)

Hey!

To solve this problem, we would really have to graph both equations.

OPEN THE FIRST IMAGE

The first image I provided was the image of this equation graphed: y=2x+1

OPEN THE SECOND IMAGE

The second image I provided was the image of this equation graphed: y=2x^2+1

PLEASE DO NOT LOOK AT THE THIRD IMAGE YET!

The first image has two points. One at ( -0.5, 0 ) and the other at ( 0, 1 ).

The second image has only one point, which is at ( 0, 1 ).

OPEN THE THIRD IMAGE

Now, when both are combined we see that they intersect at two points, which are ( 0, 1 ) and ( 1, 3 ).

So, our answer is...

The ordered pairs that are the solution to the system are  ( 0,1 ) and ( 1,3 ).

Hope this helped!

- Lindsey Frazier ♥