Step-by-step explanation:
(m - 2)x + y = 2
y = -(m - 2)x + 2
8 = -(m - 2)(2) + 2
6 = -(m - 2)(2)
3 = -(m - 2)
-3 = m - 2
-1 = m
mx + 2y = k
2y = -mx + k
[tex]y = - \frac{1}{2} mx + \frac{k}{2} \\ y = \frac{1}{2} x + \frac{k}{2} \\ 8 = \frac{1}{2} (2) + \frac{k}{2} \\ 7 = \frac{k}{2} \\ 14 = k[/tex]