Determine the value of k and h if 3x+ky+2=0 and 5x-y+h=0 are equations of same line.

k = - 3/5

h = 10/3

Step-by-step 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