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Which of the following best describes the solution to the system of equations below?

-x + 4y = -12
2x - 4y = 12
A.
The system of equations has exactly one solution where x = 0 and y = -3.

B.
The system of equations has infinitely many solutions.

C.
The system of equations has exactly one solution where x = 1 and y = 3.

D.
The system of equations has no solution.

Respuesta :

mayarsakir

Answer:

a

Step-by-step explanation:

-x=-12-4y

x=12+4y

2(12+4y)-4y=12

24+8y-4y=12

4y=-12

y=-3

x=12-12=0

Answer:

A. )

The system of equations has exactly one solution where x = 0 and y = -3

Step-by-step explanation:

[tex]-x+4y=-12[/tex]       Equation:1

 [tex]2x - 4y = 12[/tex]         Equation:2

On adding both the given equations

[tex]2x-4y+(-x+4y)=12+(-12)\\2x-4y-x+4y=0\\2x-x=0\\x=0[/tex]

Putting the value of 'x' in Equation 1

[tex]-x+4y=-12[/tex]

[tex]0+4y=-12\\y=\frac{-12}{4}[/tex]

[tex]y=-3[/tex]