Question

Use a graphing tool to solve the system. {3x−8y=293x+y=−2 Which ordered pair is the best estimate for the solution to the system?

Answer 1

The best estimate for the solution is the point
`(0.5,-3.5)`

Explanation:

we have

`3x-8y=29` -----> equation A

`3x+y=-2` -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection point is
`(0.481,-3.444)`

see the attached figure

therefore

The solution of the system of equations is the point
`(0.481,-3.444)`

The best estimate for the solution is the point
`(0.5,-3.5)`

Answer 2

Hello, please refer to the attached file for the graph generated by Desmos.

The red line shows the graph for
`3x-8y=29` while the blue line is the graph for
`3x+y=-2`.

Since Desmos automatically shows the intersection of two graphs, we know it's exactly the point with coordinates (0.481,-3.444).