3m+n=10 5m-2n=2 what is the answer for this one ​

Question

3m+n=10
5m-2n=2
what is the answer for this one ​

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Ngọc Khuê 4 years 2021-07-30T22:57:37+00:00 1 Answers 11 views 0

Answers ( )

  1. thugiang
    0
    2021-07-30T22:59:32+00:00
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    Answer:

    m = 2

    n = 4

    Step-by-step explanation:

    Ok so to solve this, you want to get it so there is only one variable and then solve that equation. To do this, you can start by doing:

    3m + n = 10

    multiply both sides by 2

    6m + 2n = 20

    now, in both of your equations you have 2n so you can add the two equations:

    6m + 2n = 20

    + 5m – 2n = 2

    11m = 22

    divide both sides by 11

    m = 2.

    Now, plug this value into the original equation, 3m + n = 10:

    3 * 2 + n = 10

    6 + n = 10

    subtract 6 from both sides

    n = 4

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