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PLEASE HELP!!!!!!!!! URGENT!!!

Which of these strategies would eliminate a variable in the system of equations?

2x + 8y = -3

3x + 6y = -4

A: Multiply the top equation by 3, multiply the bottom equation by -2, then add the equations.

B: Multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation.


C: Multiply the top equation by 4, multiply the bottom equation by 3, then add the equations.

User Oliland
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2 Answers

4 votes

Final answer:

To eliminate a variable in a system of equations, we can use the method of elimination.

Step-by-step explanation:

In order to eliminate a variable in a system of equations, we can use the method of elimination. This involves manipulating the equations so that when they are added or subtracted, one of the variables is eliminated.

Looking at the given options:

  1. A: Multiply the top equation by 3, multiply the bottom equation by -2, then add the equations.
  2. B: Multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation.
  3. C: Multiply the top equation by 4, multiply the bottom equation by 3, then add the equations.

Option A is correct because by multiplying the top equation by 3 and the bottom equation by -2, we can create coefficients that will allow us to add the equations together and eliminate the variable.

User Harold Ekstrom
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5.6k points
6 votes

Answer:

a

Step-by-step explanation:

When you multiply the top equation by 3 you would get 6x when you multiply the bottom equation by -2 you would have -6x that way when you combine the equations they would eliminate each other and you would only be left with y as a variable

User Dmck
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6.7k points