Question

Given: Point K is between points H and J, HK = x − 5, KJ = 5x − 12, and HJ = 25. Find the value o

Answer 1

`\huge\boxed{\sf x = 7}`

Explanation:

According to the given statement

HJ = HK + KJ

Given that HJ = 25 , HK = x - 5 and KJ = 5x-12

`\sf 25 = x-5+5x-12`

Adding like terms

`\sf 25 = 6x-17\\Adding \ 17\ to\ both\ sides\\25 + 17 = 6x\\42 = 6x\\Dividing \ both \ sides \ by \ 6\\7 = x\\OR\\x = 7`