Given the equations x = 6y, 4y = 9z, and (3x) (9z) = ky, what is the value of k in terms of y, if y ≠ 0?

Question

Mathematics

Raquel Cherry

22 July, 10:43

Given the equations x = 6y, 4y = 9z, and (3x) (9z) = ky, what is the value of k in terms of y, if y ≠ 0?

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Answers (1)

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Sidney Cooley · Answer 1

X=6y

x/6=y

4y=9z

(4/9) y=z

4 (x/6) = 9z

(2/3) x=9z

x (2/3) / 9=z

(2/27) x=z

(3x) (9z) = ky

(3 (6y)) (9 ((4/9) y)) = k (y)

(18y) (4y) = k (y)

(72y^2) = k (y)

y (72y) = y (k)

72y=k