Question

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

Answer 1

For this case we have the following system of equations:

$6x + 3y = 6\\6x + 3y = 14$

We multiply the first equation by -1:

$-6x-3y = -6$

We have the following equivalent system:

$-6x-3y = -6\\6x + 3y = 14$

We add the equations:

$-6x + 6x-3y + 3y = -6 + 14\\0 = 8$

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

Answer:

Option C