Question

What is the closest approximate solution to the system of equations?

(–5, –7.2)
(–5, –6.8)
(–5, –6.2)
(–5, –5.9)

Answer 1

The closest approximate solution to the system of equations is the point
`(-5,-6.8)`

Explanation:

we know that

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

In this problem

The x-coordinate of the intersection point is
`-5`

The y-coordinate of the intersection point belong to the interval--->
`(-6.5,-7)`

therefore

The closest approximate solution to the system of equations is the point
`(-5,-6.8)`

Verify

`7x-4y=-8` ------> equation A

`y=(3/4)x-3` -------> equation B

using a graphing tool

see the attached figure

The exact solution is the point
`(-5,-6.75)`

Answer 2

For this case what you should do is verify the point where both functions are cut.
At that point, you will find the solution to the linear system of equations.
For this case, the solution is the ordered pair
(x, y) = (–5, –6.8)
answer
(x, y) = (–5, –6.8)