Question

Solve for k 4k – 6/3k – 9 = 1/3

Answer 1

hello

to solve this simple equation, we need to follow some simple steps.

`4k-(6)/(3)k-9=(1)/(3)`

step 1

multiply through by 3

we are doing this to eliminate the fraction and it'll help us solve this easily

`\begin{gathered} 4k(3)-(6)/(3)k(3)-9(3)=(1)/(3)(3) \\ 12k-6k-27=1 \end{gathered}`

notice how the equation haas changed suddenly? well this was done to make the question simpler and faster to solve.

step 2

collect like terms and simplify

`\begin{gathered} 12k-6k-27=1 \\ 12k-6k=1+27 \\ 6k=28 \\ \end{gathered}`

step three

divide both sides by the coefficient of k which is 6

`\begin{gathered} (6k)/(6)=(28)/(6) \\ k=(14)/(3) \end{gathered}`

from the calculations above, the value of k is equal to 14/3