Answer:
k = -3/5
h = 10/3
Explanation:
3x + ky + 2 = 0
5x - y + h = 0
Divide both sides of the first equation by 3. Divide both sides of the second equation by 5.
x + (k/3)y + 2/3 = 0
x - (1/5)y + h/5 = 0
Since both equations represent the same line, the corresponding terms must be equal.
x = x
(k/3)y = -(1/5)y
2/3 = h/5
Solve the first equation for k and the second equation for h.
k/3 = -1/5
k = -3/5
h/5 = 2/3
h = 10/3