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Two equations are given below:

m + 4n = 8
m = n − 2

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

Select one:
a. (4, 6)
b. (2, 4)
c. (0, 2)
d. (6, 8)

Respuesta :

gmany

Answer:

c. (0, 2)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}m+4n=8&(1)\\m=n-2&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\n-2+4n=8\qquad\text{add 2 to both sides}\\5n=10\qquad\text{divide both sides by 5}\\n=2\\\\\text{put the value of}\ n\ \text{to (2):}\\\\m=2-2\\m=0[/tex]

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