Question

On a piece of paper, graph this system of equations. y=x-2. y= x2 - 6x + 8

Then determine which answer choice matches the graph you drew and identify the solutions to the system.

A. Solutions: (2,0) and (5, 3)

B. Solutions: (2,0) and (4,2)

C.Solutions: (-2,0) and (2,0)

D.Solutions: (2,0) and (3,-1)​

Answer 1

The graph of the system of equations from which the solution of the equation system can be found, created with MS Excel is attached.

The graph of the system of equation indicate that the solution of the system of equation is the option A

A. Solutions; (2, 0) and (5, 3)

The steps used to find the solution of the system of equations can be presented as follows;

The equation for the system of functions can be presented as follows;

y = x - 2

y = x² - 6·x + 8

Please find attached the graph of the functions y = x - 2, and y = x² - 6·x + 8, created with MS Excel

The solution to the system of equations, which can be obtained from the point of intersection of the graphs of the functions on the graph are; (2, 0), and (5, 3), which corresponds to the option A