Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear equations?

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

----› Equation 1

-----› Equation 2

Substitute y = (x + 2) in equation 1

----› Equation 1

(substitution)

(distributive property)

[Note: this is where Carolyn made a mistake]

Collect like terms

(addition property of equality).

Substitute x = 11 in equation 2

-----› Equation 2

(substitution)

✅The solution to the system of equations would be:

(11, 13)

idk but i found this "the graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.  

so, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2)."

step-by-step explanation:

link is