Question

Solve the equation for k, in terms of h.

Answer 1

Answer:

2h/3

Step-by-step explanation:

to simplify equation:

$-6k=4h-12k; \ => \ k=\frac{2h}{3} .$

Answer 2

Answer: $\bold{B.\quad k=\dfrac{2}{3}h}$

Step-by-step explanation:

$\dfrac{h-3k}{2k}=\dfrac{-3}{4}\\\\\\\text{Cross Multiply:}\\4(h-3k)=-3(2k)\\\\\\\text{Distribute:}\\4h-12k=-6k\\\\\\\text{Add 12k to both sides:}\\4h=6k\\\\\\\text{Divide both sides by 6:}\\\dfrac{4}{6}h=k\\\\\\\text{Simplify the fraction:}\\\boxed{\dfrac{2}{3}h=k}$