Question

use the graph to solve the system.
y = -x + 6
y = x
the solution is (\square, \square).

Explanation:

Step1: Recall solution of system

The solution of a system of linear equations from a graph is the point of intersection of the two lines.

Step2: Find intersection point

Looking at the graph, the lines \( y = -x + 6 \) and \( y = x \) intersect at the point where both \( x \) and \( y \) coordinates are equal. From the graph, we can see the intersection is at \( (3, 3) \) (since when \( x = 3 \), \( y = -3 + 6 = 3 \) and \( y = x = 3 \)).

Answer:

\((3, 3)\)