Answer:
z = [tex]\frac{1}{5}[/tex], 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 = [tex]\frac{1}{5}[/tex]
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 = [tex]\frac{1}{5}[/tex]
left side = | 1 - 8 | = | - 7 | = 7 = right side
Thus z = [tex]\frac{1}{5}[/tex], z = 3 are the solutions
