Question

what are the solutions to the system? use a graphing calculator.
y = x^2 – 3.2x + 10.1
y = –6.8x + 8.3
Answer
the potential answers are
(–0.60, 12.38) and (–3, 28.7)
(–0.60, 28.7) and (–3, 12.38)
(–0.60, 12.38) and (3, –12.1)
There is no solution.
Answered by GPT 3.5
To find the solutions to the system by graphing, you can graph both equations on a graphing calculator and find the point(s) where they intersect.

The solutions to the system are the x and y values where the two equations intersect.

Here are the steps to find the solutions using a graphing calculator:

1. Enter the first equation into the graphing calculator: y = x^2 – 3.2x + 10.1.
2. Enter the second equation into the graphing calculator: y = –6.8x + 8.3.
3. Graph both equations on the same coordinate system.
4. Find the point(s) where the two graphs intersect.

The point of intersection will be the solution to the system of equations.
Answered by GPT 3.5
To determine which of the potential answers is correct, we need to find the actual solutions to the system by graphing the equations y = x^2 – 3.2x + 10.1 and y = –6.8x + 8.3 on a graphing calculator.

After graphing the two equations, we find that the actual solutions to the system are (–0.60, 12.38) and (–3, 28.7). Therefore, the correct answer is:
(–0.60, 12.38) and (–3, 28.7)