Question

Which ordered pair is the solution to the system of equations?{x+3y=−12y=13x−6 (10, −223)(−9, −9)(−5, −213)(3, −5)

Answer 1

3, -5

Explanation:

Just took the test.

Answer 2

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 :

`x+3y=-12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=(1)/(3)x-6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

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

`x+3y=-12\\\\\Rightarrow x+3\left((1)/(3)x-6\right)=-12\\\\\\\Rightarrow x+x-18=-12\\\\\Rightarrow 2x=6\\\\\Rightarrow x=(6)/(2)\\\\\Rightarrow x=3.`

From equation (ii), we get

`y=(1)/(3)*3-6=1-6=-5.`

Thus, the required solution is (x, y) = (3, -5).

Option (D) is CORRECT.