Answer:
k = 8, -2 and 1/6
Explanation:
To get k, represent x with 2 and y with 1 in all equations
a) 3x + 2y = k
3(2) + 2(1) = k
6 + 2 = k
k = 8
b) 2x - ky = 6
2(2) - k(1) = 6
4 - k = 6
4 - 6 = k
k = -2
c) x + y = 5k
4 3
2 + 1 = 5k
4 3
Using the lcm of 4 and 3 to add the fractions
6 + 4 = 5k
12
10 = 5k
12
cross multiply
5k × 12 = 10
60k = 10
k = 10
60
k = 1/6