c. Infinitely many solutions is the right answer
Step-by-step explanation:
Given equations are:
[tex]x + 6y = -6\ \ \ \ Eqn\ 1\\2x + 12y = -12\ \ \ Eqn\ 2[/tex]
When we closely observe the equations we see that both the equations are equivalent.
From equation 2:
Dividing the equation by 2
[tex]x+6y = -6[/tex]
We can see that the equation 2 is equivalent to equation 1.
This means that the graph of both equations will be on each other so the equations will have infinite many solutions
Hence,
c. Infinitely many solutions is the right answer
Keywords: Linear equations, variables
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