According to the graph, what is the solution (ordered pair) of this system of equations?​

Answers:

(2, -3) and (3, -3)

==================================================

Work Shown:

Since f(x) = -3, we'll replace f(x) with -3 and solve for x

f(x) = x^2 - 5x + 3

-3 = x^2 - 5x + 3 .... f(x) replaced with -3

0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides

0 = x^2 - 5x + 6

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula

x = 3 or x = 2

So that explains where that '2' comes from when they listed (2, ?)

-------------

To find what replaces the question mark, we will plug x = 2 into the function

f(x) = x^2 - 5x + 3

f(2) = 2^2 - 5(2) + 3

f(2) = 4 - 10 + 3

f(2) = -3

We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.

-------------

Let's do the same for x = 3

f(x) = x^2 - 5x + 3

f(3) = 3^2 - 5(3) + 3

f(3) = 9 - 15 + 3

f(3) = -3

We end up with the same output, so x = 3 is confirmed as well.

The graph below visually helps reinforce these confirmations. Each solution  is an intersection between the two curves.

lol we need to see what the question is asking about

step-by-step explanation:

step-by-step explanation: