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

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