Asystem of equations and its solution are given below.

system a

-x-2y=7
5x-6y=-3
solution = (-3,-2)

choose the correct option that explains what steps were followed to obtain the system of equations below.

system b

-x-2y=7
-16y=32

a.
to get system b, the second equation in system a was replaced by the sum of that equation and the first equation multiplied by -5. the solution to system b will not be the same as the solution to system a.
b.
to get system b, the second equation in system a was replaced by the sum of that equation and the first equation multiplied by 5. the solution to system b will be the same as the solution to system a.
c.
to get system b, the second equation in system a was replaced by the sum of that equation and the first equation multiplied by -6. the solution to system b will not be the same as the solution to system a.
d.
to get system b, the second equation in system a was replaced by the sum of that equation and the first equation multiplied by 3. the solution to system b will be the same as the solution to system a.

B

Step-by-step explanation:

The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.

To do that, we need to multiply the first equation by 5.

5 (-x − 2y = 7)

-5x − 10y = 35

Add to the second equation.  Notice the x terms cancel out.

(-5x − 10y) + (5x − 6y) = 35 + (-3)

-16y = 32

Combining this new equation with the first equation from system A will get us system B.

-x − 2y = 7

-16y = 32

I think it's B

Step-by-step explanation:

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