Answer:
m = - 1, k = 14
Step-by-step explanation:
The coordinates of the point of intersection (2, 8 ) satisfy both equations.
Substitute x = 2, y = 8 into the equations and solve for m and k
(m - 2)x + y = 2
2(m - 2) + 8 = 2
2m - 4 + 8 = 2
2m + 4 = 2 ( subtract 4 from both sides )
2m = - 2 ( divide both sides by 2 )
m = - 1
and
mx + 2y = k
- 1(2) + 2(8) = k
- 2 + 16 = k
14 = k
Then m = - 1 and k = 14
