a system of equations and its solution are given below.

system a:
5x - y = -11
3x - 2y = -8
solution: (-2,1)

to get system b below, the second equation in system a was replaced by the sum of that equation and the first equation in system a multiplied by -2.

system b:
5x - y = -11
?

a.
the second equation in system b is 7x = 30. the solution to system b will be the same as the solution to system a.
b.
the second equation in system b is 7x = 30. the solution to system b will not be the same as the solution to system a.
c.
the second equation in system b is -7x = 14. the solution to system b will be the same as the solution to system a.
d.
the second equation in system b is -7x = 14. the solution to system b will not be the same as the solution to system a.

C. The second equation in system B is   .The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

Given  

System A:

System B:

When we multiply I equation of system A by -2 then we get new equation

( III equation )

Adding equation II  of system A and eqaution III then we get

Hence, II equation of system B

By division property of equality

x=-2

Substitute the value of x=-2 in equation I of system B then we get

-10-y=-11

By simplification

=-1

y=1

By simplification

Therefore, the solution of system B is (-2,1).

Hence, option C is correct .

C. The second equation in system B is -7x=14 . The solution to system B will be the same as the solution to system A.

black/brown

step-by-step explanation:

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step-by-step explanation: