Respuesta :
The given equations are
5m+3n=41
3m-6n=9
To solve the equations by linear combination method we make the coefficient of m or n same in both equation. To make coefficient of n same we multiply the first equation by 2
2[5m+3n=41 ]
Multiplying both sides by 2 we have:
10m+6n=82
3m-6n=9 ( second equation)
Adding the two equation the variable n is eliminated
13m=91
Dividing both sides by 13
m=7.
Substituting m value in the first equation we have:
5m+3n=41
5(7)+3n=41
35+3n=41
Subtracting 35 both sides
3n=41-35
3n=6
Dividing both sides by 3
n=2.
Answer:
M=7.N= 2.
