plzzz Select the correct answer.
A system of equations and its solution are given below.

System A
-x-2y=7
5x-6y=-3
solutions:(-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 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 -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 5. The solution to system B will be the same as the solution to system A.

The system of equation A can be modified as system B, and the modified equations are -x - 2y = 7 and-16y = 32 solutions to the system of equation is (-3,-2) option (D) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two linear equations:

System A

-x - 2y = 7

5x - 6y = -3

From equation A:

x = -2y - 7

Plug this value in the equation second.

5(-2y - 7) - 6y = -3

-10y - 35 - 6y = -3

-16y = -3 + 35

-16y = 32

System B

-x - 2y = 7

-16y = 32

y = - 2

x = -3

Solutions:(-3,-2)

Thus, the system of equation A can be modified as system B, and the modified equations are -x - 2y = 7 and-16y = 32 solutions to the system of equation is (-3,-2) option (D) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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