Question

Shannon graphed the system of equations. 7x – 4y= –8 y = x – 3 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 graph shows the solution of your equations is
.. (x, y) = (-6 2/3, -9 2/3)

The closest point to that of the choices offered is (-5, -7.2).

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The offered "approximations" are not very good approximations.

Answer 2

we have

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

$y=x-3$ ------------> equation B

we know that

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

so

Using a graphing tool

see the attached figure

The solution is the point  $(-6.7,-9.7)$

therefore

the answer is

the closest approximate solution to the system of equations is $(-5,-7.2)$