Question

the graph of a system of a linear equation and a nonlinear equation is shown. what is the solution (x, y) to this system?
a) (3, 6)
b) (3, 4)
c) (4, 5)
d) (5, 0)

Explanation:

Step1: Recall the definition of a system's solution

The solution to a system of equations (linear and nonlinear) is the point where their graphs intersect, as this point satisfies both equations.

Step2: Identify the intersection point from the graph

Looking at the graph, the linear equation (straight line) and the nonlinear equation (curve) intersect at the point where \( x = 4 \) and \( y = 5 \) (by observing the coordinates of the intersection on the grid).

Answer:

C. (4, 5)