Question

will give brainiest

n = 3m + 6
n − 2m = 2

What is the solution, in the form (m, n), to the system of equations?

(−4, −6)
(−5, −9)
(2, 6)
(1, 8)

Answer 1

Answer:

Step-by-step explanation:

We are told that n = 3m + 6.  Substitutte 3m + 6 for n in the second equation, obtaining:

(3m + 6) - 2m = 2, or 3m + 6 - 2m = 2.

Combining like terms yields

m = -4.  

Knowing that m = -4 allows us to calculate n.  Use the first equation, n = 3m + 6, for this purpose:  n = 3(2) + 6 = 12.

Thus, the solution is (2, 12).