Question

Solve Each Equation PLS SHOW WORK

|5k-8| / 10 = 2

|5k-8| / 10 is a fraction btw

Answer 1

The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Explanation:

Given;

`(|5k-8|)/(10) = 2\\\\|5k-8| = 20`

Simplifying further;

5k - 8 = 20 ------- (1)

5k - 8 = -20------(2)

Solving equation (1)

5k - 8 = 20

5k = 28

k = 28 /5 = 5 ³/₅

Solving equation (2)

5k - 8 = -20

5k = -20 + 8

5k = -12

k = -12 / 5 = -2 ²/₅

Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅