what is the largest ( x )-value in solutions for the system of equations in the graph?

Explanation:

Step1: Identify intersection points

The solutions of the system are the coordinates where the two graphs cross. From the graph, the intersection points are $(-5, 5)$ and $(2, 0)$.

Step2: Extract x-values

The x-values of the solutions are $x=-5$ and $x=2$.

Step3: Find the largest x-value

Compare $-5$ and $2$; $2$ is larger.

Answer:

$2$