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What should be the first step in adding these equations to illuminate y? 3x+4y=8 + 6x-2y=9

A. Multiply the top equation by two

B. Multiply the top equation by six

C. Multiply the bottom equation by three

D. Multiply the bottom equation by two

What should be the first step in adding these equations to illuminate y? 3x+4y=8 + 6x-example-1

1 Answer

2 votes

Answer:

D

Explanation:

In this problem, we are adding the two equations and we want to get rid of y. To do this, we want one positive y and one negative y with the same coefficient because when we add the equations they will cancel each other out. The coefficient of the first equation's y is 4, so we want the second to be -4. The coefficient of the second equation's y is -2, and if we want it to be -4 we multiply it by -4/-2= 2, which is D. Once you do that you will get 4y and -4y in the first and second equations respectively and then you can add them to eliminate y!

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