Answer:
h = 2 and k = 6
Explanation:
Since the lines intersect at (- 3, 1) then this is the solution to the system of equations.
That is x = - 3 and y = 1
Substitute these values into the equations and solve for h and k
hx - 4y = - 10
- 3h - 4 = - 10 ( add 4 to both sides )
- 3h = - 6 ( divide both sides by - 3 )
h = 2
Similarly
kx + 3y = - 15
- 3k + 3 = - 15 ( subtract 3 from both sides )
- 3k = - 18 ( divide both sides by - 3 )
k = 6