To determine the best estimate of the solution to the system of equations based on their graphical representation, we need to find the point of intersection of the lines represented by those equations. The point of intersection is the solution to the system of equations.
Given the results, let's verify our understanding without referring to the graph directly, but rather through the understanding of the systematic approach to solving systems of equations:
1. Step 1: Understand the system
- We have two equations in a system. The coordinates of their intersection point give us the solution.
2. Step 2: Identify the intersection point
- The possible coordinates on the graph could be:
- [tex]\( (-1, 0) \)[/tex]
- [tex]\( (-1, -1) \)[/tex]
- [tex]\( (1, 0) \)[/tex]
- [tex]\( (1, -1) \)[/tex]
3. Step 3: Check the resultant solution coordinates
- Our ultimate goal here is to determine the coordinates of the point at which the lines intersect, which will provide us with the solution to the system of equations.
According to our solution derived earlier, the coordinates of the intersection point, and hence the solution to the system of equations, are [tex]\( (1, -1) \)[/tex].
Thus, the best estimate of the solution to the system of equations is:
[tex]\[
\boxed{(1, -1)}
\][/tex]
