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 =

Answer 1

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