Explain why the two equations below have the same solutions.

Question

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!

Answer 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?

Answer 2

No, since it is right, right

Answer 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.