What is the value of k?

4/5 k - 1/10 k = 1/2 k + 1

what is the value of k?

4/5 k - 1/10 k = 1/2 k + 1

the answer is k = 5

Step-by-step explanation:

from the question what is the value of k?

4/5 k - 1/10 k = 1/2 k + 1

by rearranging, we have;

4k/5 - k/10 = k + 1 / 2

finding the lcm of the RHS which is 10

2 (4k) - k/10 = k + 1/2

8k-k / 10 = k + 1 / 2

finding the lcm of the R

LHS which is 2

we have

7k/10 = k + 2/2

by cross multiplying

14k = 10k + 20

collect the lie terms

14k - 10k = 20

4k = 20

divide both sides by 4

k = 5