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
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Answer:
h = 2 and k = 6
Step-by-step 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