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Which of the following best describes the solution to the system of equations below?
6x + 3y = 6
6x + 3y = 14
A.
The system of equations has exactly one solution where I = 6 and y = 14.
B.
The system of equations has infinitely many solutions.
C.
The system of equations has no solution.
D.
The system of equations has exactly one solution where I = 0 and y =

Respuesta :

carlosego

For this case we have the following system of equations:

[tex]6x + 3y = 6\\6x + 3y = 14[/tex]

We multiply the first equation by -1:

[tex]-6x-3y = -6[/tex]

We have the following equivalent system:

[tex]-6x-3y = -6\\6x + 3y = 14[/tex]

We add the equations:

[tex]-6x + 6x-3y + 3y = -6 + 14\\0 = 8[/tex]

Equality is not fulfilled, so the system of equations has no solution.

Answer:

Option C

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