Question

pregunta 26
given the graph below, what is the best estimate for the solution to the system of equations?
options: (0,4), (2,2), (0,-6), (2,0)

Explanation:

Step1: Recall solution of system

The solution to a system of linear equations graphed is the point where the two lines intersect.

Step2: Identify intersection point

Looking at the graph, the two lines intersect at the point where \( x = 2 \) and \( y = 0 \), which is the point \( (2,0) \). We check the options:

• \( (0,4) \): Not the intersection.
• \( (2,2) \): Not the intersection.
• \( (0, - 6) \): Not the intersection.
• \( (2,0) \): Matches the intersection point.

Answer:

D. (2,0)