Asked by Sanjay Gupta

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!
Answered by Reiny
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?
Answered by Sanjay Gupta
No, since it is right, right
Answered by Reiny
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.