Question

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

y=−34x−2y=x+6




(−4.25,1.5)

(−4.75,1.75)

(−4.5,1.5)

(−4.5,1.75)

Answer 1

The best estimate for the solution of the system of equations is (-4.5, 1.5).

Step-by-step explanation:

The system of equations given is:

y = -34x - 2

y = x + 6

To find the best estimate for the solution, we can substitute the x-coordinate from each ordered pair into the second equation and solve for y.

Let's check each option:

For (-4.25, 1.5):

1.5 = -4.25 + 6

1.5 = 1.75 (not equal)

This is not a solution for the system.

For (-4.75, 1.75):

1.75 = -4.75 + 6

1.75 = 1.25 (not equal)

This is not a solution for the system.

For (-4.5, 1.5):

1.5 = -4.5 + 6

1.5 = 1.5 (equal)

This is a solution for the system.

For (-4.5, 1.75):

1.75 = -4.5 + 6

1.75 = 1.5 (not equal)

This is not a solution for the system.

Therefore, the best estimate for the solution of the system of equations is (-4.5, 1.5).

Answer 2

8^2x = 4096

8^2x = 8^4

2x = 4

x = 2

hope this will help you