Respuesta :
multiply 4k to 7k. Then divide 3t-11t by 7x4. Then square root the rest
We are given the equation [tex] 7k=\frac{4k}{3t}-11t
[/tex]
In order to make k the subject, we will have to isolate k and express it in terms of the other variable, t. Let us begin:
Multiply both sides by 3t
[tex] 21kt=4k-33t^2[/tex]
Let us now subtract 4k from both sides:
[tex] 21kt-4k=-33t^2 [/tex]
Take k out as the common factor on the left hand side of the above equation:
[tex] k(21t-4)=-33t^2 [/tex]
Divide both sides by 21t-4
[tex] k=\frac{-33t^2}{21t-4} [/tex]
If we multiply the numerator and the denominator on the right side by -1 we will get, k to be as:
[tex] k=\frac{33t^2}{4-21t} [/tex]
The above the given equation expressed with k as the subject.
