Question

a system of equations and its solution are given below.
system a
$x + 6y = 5$
$3x - 7y = -35$
solution: $(-7,2)$
choose the correct option that explains what steps were followed to obtain the system of equations below.
system b
$x + 6y = 5$
$-25y = -50$
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 7. 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 -3. 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 -5. the solution to system b will 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 not be the same as the solution to system a.

Explanation:

Answer:

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 -3. The solution to system B will be the same as the solution to system A.