Question

Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?

Answer 1

Answer:

option a or (1,2) on edge

Step-by-step explanation:

Answer 2

For this case we have the following system of equations:

$y = -x ^ 2 + x + 2\\y = -x + 3$

We observe that we have a quadratic equation and therefore the function is a parabola.

We have a linear equation.

Therefore, the solution to the system of equations will be the points of intersection of both functions.

When graphing both functions we have that the solution is given by:

$x = 1\\y = 2$

That is, the line cuts the quadratic function in the following ordered pair:

(x, y) = (1, 2)

Answer:

the solution (s) of the graphed system of equations are:

(x, y) = (1, 2)

See attached image.