Respuesta :
Answer: The correct option is (D) (3, -5).
Step-by-step explanation: We are given to find the correct ordered pair that is a solution to the following system of equations :
[tex]x+3y=-12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=\dfrac{1}{3}x-6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We will be using the method of SUBSTITUTION to solve the given system.
Substituting the value of y from equation (ii) in equation (i), we get
[tex]x+3y=-12\\\\\Rightarrow x+3\left(\dfrac{1}{3}x-6\right)=-12\\\\\\\Rightarrow x+x-18=-12\\\\\Rightarrow 2x=6\\\\\Rightarrow x=\dfrac{6}{2}\\\\\Rightarrow x=3.[/tex]
From equation (ii), we get
[tex]y=\dfrac{1}{3}\times3-6=1-6=-5.[/tex]
Thus, the required solution is (x, y) = (3, -5).
Option (D) is CORRECT.
Answer:
3, -5
Step-by-step explanation:
Just took the test.
