Answer:
( m, n) = ( -6 , 11) .
Step-by-step explanation:
Given : A system of equations is shown below: n = 3m + 7
n − 2m = 1.
To find : What is the solution, in the form (m, n), to the system of equations.
Solution : We have given
n = 3m + 7 ------(1)
n − 2m = 1
We can write it as n = 1 + 2m -----(2)
In equating both equation (1) = (2).
n = n
3m + 7 = 1 +2m.
On subtracting both sides by 2m
3m - 2m + 7 = 1.
m + 7 = 1
On subtracting by 7 both sides
m = 1 - 7.
m = -6.
On plugging the value of m = -6 in equation 1.
n = 3m + 7
n = 3 (-6) + 7.
n = -18 + 7.
n = -11.
Then solution ( m, n) = ( -6 , 11) .
Therefore, ( m, n) = ( -6 , 11) .
