Question

(4k-1)/3-2=k/2+1/6 find k

Answer 1

Here is what u are finding

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Answer 2

Given:

$\frac{4k - 1}{3}\: -\: 2\: =\: \frac{k}{2}\: +\: \frac{1}{6}$

To find:

The value of k

Solution:

To find the value of k we will simplify the above-given equation which follows:

$\frac{4k - 1}{3}\: -\: 2\: =\: \frac{k}{2}\: +\: \frac{1}{6}$

taking L.C.M. of the denominators on both sides of the equation

⇒ $\frac{4k\: -\: 1\:-\:6}{3}\: =\: \frac{3k\:+\:1}{6}$

⇒ $\frac{4k\: -\: 7}{3}\: =\: \frac{3k\:+\:1}{6}$

multiplying both sides of the equation by 3

⇒ $\frac{4k\: -\: 7}{1}\: =\: \frac{3k\:+\:1}{2}$

now, we will do cross multiplication

⇒ $2[4k - 7]\:=\:3k+1$

⇒ $8k - 14\:=\:3k+1$

⇒ $8k - 3k\:=\:14+1$

⇒ $5k \:=\:15$

⇒ $k\:=\:\frac{15}{5}$

⇒ $k\:=\:3$

Thus, $\boxed{\bold{The\:value\:of \:k\:is\:\underline{3}.}}$

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