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Given the system of equations presented here:

3x + 5y = 29
x + 4y = 16

Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?
A) Multiply the second equation by −1 to get −x − 4y = −16
B) Multiply the second equation by −3 to get −3x − 12y = −48
C) Multiply the first equation by −1 to get −3x − 5y = −29
D) Multiply the first equation by −3 to get −9x − 15y = −87

User Rjsang
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5.4k points

2 Answers

4 votes
b.
hope this helps :)
User Simon Baars
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5.8k points
4 votes
Hello!

The goal for elimination is to add or subtract 2 equation to get rid of a variable

So we are looking for an answer that allows that

The answer is B since then we can add the equations together to eliminate x

Hope this helps!
User Larrydahooster
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6.5k points