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jok3333 [9.3K]
3 years ago
15

This is just algebra need some help 10 pts each, will give brainliest

Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

\huge \boxed{ \boxed{z = 3}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
  • PEMDAS
<h3>let's solve:</h3>
  1. \sf simplify \: substraction :  \\  \frac{3}{ \frac{z - 2}{z} }  = 3z
  2. \sf simplify \: complex \: fractio n : \\  \frac{3z}{z - 2}  = 3z
  3. \sf cross \: multiplication :  \\ 3z = 3z(z - 2)
  4. \sf divide \: both \: sides \: by \:  3z :  \\  \frac{3z}{3z} =   \frac{3z(z - 2)}{3z} \\ 1 = z - 2
  5. \sf add \: 2 \: to \: bot h  \: sides :  \\  z - 2 +  2 = 1 + 2 \\ \therefore \: z = 3

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The complete question in the attached figure    

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