Question

9.) describe what the “solution to a system of equations” is. (le
10.)

Explanation:

For question 9: A solution to a system of equations is a set of values for the variables that satisfies every equation in the system simultaneously. When graphed (for 2-variable systems), this corresponds to the point(s) where all the graphs of the equations intersect, as this point's coordinates work for all equations.
For question 10: Looking at the graph, the two lines intersect at the point where $x=1$ and $y=5$. This coordinate pair satisfies both linear equations represented by the lines, so it is the solution to the system.

Answer:

1. A solution to a system of equations is a set of variable values that makes every equation in the system true at the same time; for a graphed 2-variable system, it is the intersection point(s) of the graphs.
2. $(1, 5)$