Connerw333
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Which ordered pair is the solution to the system of equations?

x+3y=12
-4x+3y=-3

A.
(0, 4)

B.
(6, 2)

C.
(3, 3)

D.
(0, −1)

Respuesta :

the answer is c. you use substitution after you find the x, which is 3. To do less work, when u see the answer has an x value of 3, only answer choice c has a x value of 3, limiting it to only that answer.
JJNinja9
The answer is (3,3). To solve this, first you write the system down. 
x+3y=12
-4x+3y=-3
                         Next, you eliminate y by multiplying the bottom equation by negative 1. 
x+3y=12
-1(-4x+3y=-3)

                         Then, your answer is:
                                   x+3y=12
                                   4x-3y+3
                         Next, you combine like terms. Your answer is:
                                   5x=15. (The y's cancel out, because 3 is the opposite of negative 3.)
                                  Divide both sides by 5, leaving you with x=3. 
                                  Lastly, you substitute x into the top equation. You get:
                                 3+3y=12. 
                               Subtract 3 from both sides, leaving you with 3y=9.
                                 Divide both sides by 3, so y=3. The final answer is (3,3).


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