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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)

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).