Solve the system of equations using the linear combination method. {5m+3n=41 {3m−6n=9 Enter your answers in the boxes. m = n =

Question

Solve the system of equations using the linear combination method. {5m+3n=41 {3m−6n=9 Enter your answers in the boxes. m = n =

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    0
    2021-09-19T05:08:18+00:00

    Answer:

    n=2 m=7

    Step-by-step explanation:

    0
    2021-09-19T05:09:03+00:00

    These are linear equations that can be solved simultaneously;
    5m+3n=41
    3m-6n=9   (multiplying the first equation by 3 and the second by 5)

    15m+9n=123
    15m-30n= 45 (subtracting the two equations)
             39n = 78
                 n = 2, 
    and for m, 3m = 9+6(2)
                            = 21
                         m = 7
    Therefore, n=2 and m=7

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