Question

|5z−8|=7

Answer 1

Answer:

z = $\frac{1}{5}$, z = 3

Step-by-step explanation:

The absolute value function always returns a positive value.

However, the expression inside can be positive or negative, that is

5z - 8 = 7 ( add 8 to both sides )

5z = 15 ( divide both sides by 5 )

z = 3

OR

- (5z - 8) = 7

- 5z + 8 = 7 ( subtract 8 from both sides )

- 5z = - 1 ( divide both sides by - 5 )

z = $\frac{1}{5}$

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

z = 3

left side = | 15 - 8 | = | 7 | = 7 = right side

z = $\frac{1}{5}$

left side = | 1 - 8 | = | - 7 | = 7 = right side

Thus z = $\frac{1}{5}$, z = 3 are the solutions