Question

consider the graph of a system of equations. which point represents a solution to the system of equations? options: (-7,0), (-6,1), (-5,0), (0,7)

Explanation:

Step1: Recall system solution

A solution to a system of equations graphed is a point where the graphs intersect (same \(x,y\) for both).

Step2: Analyze intersection point

Looking at the graph, the two curves (a parabola and a line) intersect at a point. Check the options: \((-6,1)\) – verify if this point is on both graphs. From the grid, the intersection has \(x = -6\), \(y = 1\), matching \((-6,1)\). Other options: \((-7,0)\) is on the line but not the parabola; \((-5,0)\) not on both; \((0,7)\) not on both.

Answer:

\((-6,1)\) (Option: \((-6,1)\))