Question

A system 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 -6. The solution to system B will not 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 3. 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 5. The solution to system B will be the same as the solution to system A.

Answer 1

Answer:

Option D

Step-by-step explanation:

we have

system A

-x-2y=7 ----> first equation A

5x-6y=-3 ---> second equation A

Multiply the first equation by 5 both sides

(5)*(-x-2y)=7*5 ----> -5x-10y=35

Adds

5x-6y=-3

-5x-10y=35

-----------------

-6y-10y=-3+35

-16y=32

therefore

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