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.

$4k-\frac{6}{3}k-9=\frac{1}{3}$

step 1

multiply through by 3

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

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

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

$\begin{gathered} \frac{6k}{6}=\frac{28}{6} \\ k=\frac{14}{3} \end{gathered}$

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