Question

20 Points! Which ordered pair is the best estimate for the solution of the system of equations?

y=3/2x+6
y=1/4x−2


(−7, −3.5)

(−6.5, −3.5)

(−6, −3)

(−7, −4)

Answer 1

The best estimate for the solution is the ordered pair
`(-6.5,-3.5)`

Explanation:

we have

`y=(3)/(2)x+6` ------> equation A

`y=(1)/(4)x-2` ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is
`(-6.4,-3.6)`

therefore

The best estimate for the solution is the ordered pair
`(-6.5,-3.5)`