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?
(0.5, −3.5)
(0, −3.75)
(0.75, −2.25)
(0, −2)

Answer 1

BTW for future reference the answer is (0.5,-3.5) I took the K12 quiz and that was the answer.

Answer 2

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)`