Question

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)

Answer 1

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 ♥