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1 vote
Consider the system of linear equations. 5x+10y=15 10x+3y=13 To use the linear combination method and addition to eliminate the x-terms, by which number should the first equation be multiplied?

A- -2
B- -1/2
C- 1/2
D- 2

User PrGD
by
8.1k points

2 Answers

6 votes

k = -2 for sure

I normally multiply 5x+10y=15 by -2 to cancel out the x's.

This is because you can only solve the problem if one of your variables is canceled out and then you solve!

User Amir Ali Akbari
by
7.9k points
5 votes

Answer:

A: -2

Explanation:

You want some factor k such that k(5x) +(10x) = 0. That is, 5k+10 = 0. The solution to this is k=-2, corresponding to selection A.

User Joshua K
by
8.5k points

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