Question

HELP ME ASAP What is the best estimate of the solution to the system?

Answer 1

Last choice: (-3.4, 2.7)

Explanation:

Well, you could actually solve the two line equations and arrive at the answer but that is not the intent of the question.

The solution of the two line equations is the point at which the two lines intersect

At this point the x value is closer to -3 than to -4. So the x value from the choices would be -3.4 rather than -3.7

We can eliminate 1st and 3rd choices

The y value is closer to 3 than it is to 2 so the y-value estimate would be 2.7

Correct choice: (-3.4, 2.7)

I have marked the solution point with an X in the attached image

Answer 2

(-3.4,2.7)

Explanation:

The reason it's asking for an estimate, is because the intersection point is not on exact integer coordinates.

Start with the x-value of the intersection point. All options contain either -3.4 or -3.7. The x-value of the intersection point is closer to -3 than -4, so -3.4 is a better estimate.

Do the same with the y-value. Since the intersection point is closer to 3 than 2, 2.7 is the best estimate here.