Question

How do I solve 1/3k-2k+4=10

Answer 1

The value of k is -3.6

Solution:

Given that, we have to solve

$\frac{1}{3}k -2k + 4 = 10$

We have to find solution to given equation

From given,

$\frac{1}{3}k -2k + 4 = 10$

Make the denominators same in right side of equation

$\frac{1}{3}k - \frac{2k \times 3}{1 \times 3} + \frac{4 \times 3}{1 \times 3} = 10\\\\Simplify\\\\\frac{1}{3}k - \frac{6k}{3} + \frac{12}{3} = 10\\\\\frac{k-6k + 12}{3} = 10\\\\Isolate\ for\ k\\\\k - 6k + 12 = 10 \times 3\\\\Combine\ the\ like\ terms\\\\-5k + 12 = 30\\\\-5k = 30 - 12\\\\-5k = 18\\\\Divide\ both\ sides\ by\ -5\\\\k = -3.6$

Thus the value of k is -3.6