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(30 POINTS!!!!!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!!!) What is the best way to describe the solution of this system of equations?

y=-1/3x+4
3y-x=12

A. There are no solutions to the system.
B. There is one solution, (-12, 0)
C. There are infinitely many solutions.
D. There is one solution, (0,4).

Respuesta :

The answer is D because when finding the value for x, it equals 0. When you substitute 0 in the equation (-1/3)x+4, y=4.
The answer is D, because 
3y-x=12, as said in the problem;
so x=3y-12.
y=-1/3x+4, as said in the problem.
so, we can use x=3y-12 to replace the x in the equation: y= -1/3(3y-12)+4
y= -1/3x3y+1/3x12+4
= -y+4+4 then 
y= -y+8.
2y=8
so y=4.
To find x, we can use x=3y-12 (see line 3.)
x=3x4-12
so x=0
Therefore, the answer is x=0, y=4 which is answer D (0,4).

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