Question

Need Help ASAP

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)

Answer 1

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).

Answer 2

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.