select all the equations that could replace one of the equations in the following system without changing its solution.

−8x −6y = 10
x + 7y = 9

select one or more:
a. -2x + 7y = 9
b. 4x + 3y = -5
c. 24x + 18y = 10
d. -16x - 12y = 20
e. 3x + 21y = 27
f. x - 14y = -18

B, D, E  

Step-by-step explanation:

-8x  -  6y = 10

  x + 7y =    9

You can multiply any of these equations by a constant without changing the solution.

B. 4x + 3y = -10 is equivalent to multiplying each side of the first equation by -½.

D. -16x - 12y = 20 is equivalent to multiplying each side of the first equation by 2.

E. 3x + 21y = 27 is equivalent to multiplying each side of the second equation by 3.

A. -2x + 7y = 9 is wrong. The signs don't match those of the second equation.

C. 24x + 18y = 10 is wrong. The signs don't match those of the first equation.

F. x - 14y = -18 is wrong. The coefficient of x should be -2.