Solve the given system by substitution.
n=5m
n=2/3 m-13

n = -15         and          m = -3

Step-by-step explanation:

To solve the given system of equation, we will follow the steps below:

n = 5m ----------------------------------------------------------------------------(1)

n = ---------------------------------------------------------------------(2)

substitute for n= 5m in equation (2)

5m =  

subtract from both-side of the equation

5m -    = -  

At the right-hand side of the equation    will cancel-out leaving us with just -13

5m -    = -13

= -13

= -13

multiply both-side of the equation by 3

3 ×   = -13 ×  3

At the left-hand side of the equation 3 will cancel-out 3 leaving is with just 13m

13m = -39

Divide both-side of the equation by 13

13m/13  = -39/13

m = -3

substitute m = -3 in  equation (1)

n = 5m

n = 5 (-3)

n = -15

Therefore, n = -15         and          m = -3