Question

a graph of a system of linear equations is shown.
what is the solution to the given system of linear equations? explain how you know.
(0, -5); the graph intersects the y-axis at this point
(1, 3); the graph of the two equations intersects at this point
(3, 1); the graph of the two equations intersects at this point
(2, 1); neither of the two equations is valid for this point

Explanation:

The solution to a system of linear equations represented by graphs is the point where the two lines intersect, as this point satisfies both equations simultaneously. Looking at the graph, the two lines cross at the coordinate (3, 1), which matches the third option's reasoning.

Answer:

(3, 1); the graph of the two equations intersects at this point