Question

Solve the equation for k in terms of h.
(h-3k)/2k=-3/4

Answer 1

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Answer 2

Answer: The required solution for k in terms of h is
`k=(6k-2h)/(3).`

Step-by-step explanation: We are given to solve the following equation for k in terms of h :

`(h-3k)/(2k)=-(3)/(4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given equation for k, we need to take all the other terms on the right-hand side and k on the left hand side of the equation.

From equation (i), we have

`(h-3k)/(2k)=-(3)/(4)\\\\\\\Rightarrow 4(h-3k)=-3*2k\\\\\Rightarrow -6k=4h-12k\\\\\Rightarrow k=(4h-12k)/(-6)\\\\\\\Rightarrow k=(6k-2h)/(3).`

Thus, the required solution for k in terms of h is
`k=(6k-2h)/(3).`