How do you solve |3z - 9| = 5|3z9|=5?

1 Answer
Mar 6, 2018

z=14/3, 4/3z=143,43

Explanation:

|3z-9|=5|3z9|=5
break the absolute value or modulus into positive and negative components, i.e.

3z-9=53z9=5 and -(3z-9)=5(3z9)=5

3z-9=53z9=5

3z=143z=14

z=14/3z=143

and
-(3z-9)=5(3z9)=5

3z-9=-53z9=5

3z=43z=4

z=4/3z=43