113k views
2 votes
PLEASE HELP!!!!

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

2 Answers

5 votes

Answer:

B, D, and E

Explanation:

i got it right

User Emil Eriksson
by
4.7k points
1 vote

Answer:

B, D, E

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.

User Zacharias Manuel
by
4.6k points