Asystem of equations is shown below: n = 3m + 7 n − 2m = 1 what is the solution, in the form (m, n), to the system of equations? (3, 7) (1, 8) (−3, −2) (−6, −11)

( 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) .