Question

Solve the system by graphing y=2x^2+3x+1. Y=2x+1

Answer 1

When it says 'solve the system' your are trying to find where the two graphs intersect. It says solve by graphing so plug into your graphing calculator and find where they intersect which is at 2 points here:
( -0.5,0) & (0,1)
Hope this helps c:

Answer 2

(-0.5, 0) and (0,1).

Explanation:

We have been given that

`y=2x^2+3x+1\\\\y=2x+1`

The first equation represents a upward parabola and second equation represents a line.

We graph these two curves in the same coordinates axis and then observe the intersection point (s) if any.

The intersection points of these two curves will give the solution of the system of equations.

The graph has been attached below.

The intersection points are (-0.5, 0) and (0,1).

Therefore, the solutions are (-0.5, 0) and (0,1).