asked 97.8k views
5 votes
Which of these steps will eliminate a variable in this system?

4x9y=8
2x + 3y = 24
OA. Multiply the second equation by 2. Then subtract the second
equation from the first.
OB. Multiply the first equation by 3. Then subtract the second equation
from the first.
C. Multiply the second equation by 2. Then add the equations.
D. Multiply the second equation by 3. Then subtract the second
equation from the first.

1 Answer

6 votes

Answer: D.


The first equation is missing a + or a - after x

Step-by-step explanation: if the second equation is multiplies by 3, it will become 6x + 9y =72

Assuming you meant
4x + 9y = 8

-
6x + 9y = 72

____________

-2x + 0 = -64 => x = -64/-2 => x = 32

Substitute x in the first equation
4(32) + 9y = 8 => 9y = 8 - 128 => 9y = -120 => y = -40/3




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