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21 April, 07:48

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

+2
Answers (2)
  1. 21 April, 08:04
    0
    A: - 2

    Step-by-step 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.
  2. 21 April, 08:08
    0
    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!
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