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2 years ago

– 5 | 3 z + 8| –5 = -20

Mathematics

2 answers:

olchik [2.2K]2 years ago

8 0

I'm assuming you want to solve for z :)

By simplifying both sides of the equation, then isolating the variable.

Exact form:

z= -5/3 , - 11/3

Mixed number form:

z= −1 2/3 , −3 2/3

mamaluj [8]2 years ago

3 0

Answer:

There are two solutions, -5/3 and -11/3

Step-by-step explanation:

Move -5 to the right side and add:

-5 | 3x + 8 | = -15

Get rid of the absolute-value bars by splitting them into negative and positive cases.

Solve negative case

-5 ( 3z + 8 ) = -15

Distribute or Multiply:

-15z - 40 = -15

Rearrange and Add:

-15z = 55

Divide both sides by 15:

-z= 11/3

Multiply both sides by -1:

z= -11/3

Solve negative case

5 ( 3z + 8 ) = -15

Distribute or Multiply:

15z + 40 = 15

Rearrange and Add:

15z = -25

Divide both sides by 15:

z = -(5/3)

Answer

z=-11/3

z=-5/3

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– 5 | 3 z + 8| –5 = -20​

– 5 | 3 z + 8| –5 = -20