ANSWER
B. infinite solutions
EXPLANATION
We want to solve the equation;
[tex]6x + 3y = - 6...(1)[/tex]
and
[tex]2x + y = - 2...(2)[/tex]
We multiply the second equation by 3 to get:
[tex]6x + 3y = - 6...(3)[/tex]
We now subtract equation (1) and (3).
[tex]6x - 6x + 3y - 3y = - 6 - - 6[/tex]
This implies that
[tex]0 = 0[/tex]
Hence the equation has infinitely many solutions.
