Question

The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution(s) to the system?

A (4,5) only
B (1,8) only
C (1,8) and (4,5)
D this system has no solution

Answer 1

C (1,8) and (4,5). To interpret a system of equations when shown a graph, look for the points at which the two function intersect or meet. in this case they meet at both points (1,8) and (4,5)

Answer 2

Option (C) is correct.

The solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).

Explanation:

Given : The graph showing a system consisting of a linear equation and a quadratic equation.

We have to find the solution(s) to the system.

Since , the solution(s) to the system are the points where the both linear equation and a quadratic equation intersect each other.

So from the graph given the linear equation intersect the quadratic equation at two points namely (1,8) and (4,5).

Thus, the solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).