Algebra 1

Explain why the two equations below have the same solutions.
x + 3y = −1

−2x − 6y = 2

A. The two equations have the same slope, so they have the same solutions.
B. The second equation is a multiple of the first equation, so they have the same solutions.
C. The graphs of the equations are parallel and do not intersect, so any solution of one is a solution of the other.
D. The lines are perpendicular, so they have the same solutions.

Thank You very much I think a will be the most accurate answer is that correct or not. Please correct me if wrong I thank you for your time and patience!

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  1. let's look at the 2nd equation.

    −2x − 6y = 2
    multiply by -1
    2x + 6y = -2
    divide by 2
    x + 3y = -1 , well, isn't that the first equation???

    So, do you want to change your choice?

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  2. No, since it is right, right

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  3. No, your choice is not correct

    It is B

    If I multiply the first equation by -2, don't I get the 2nd equation???
    So one is a multiple of the other.

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