Question

If the graphs of the lines in the system of equations above the intersect at (-3,1), what is the value of K/H?

A) 3/2
B) 2
C) 3
D) 6

Answer 1

I Think It’s will be 6 so the answer will D

Answer 2

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