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

Find z if [tex]\frac{3}{1-\frac{2}{z} } =3z[/tex]

Thank You!

Respuesta :

Nayefx

Answer:

[tex] \huge \boxed{ \boxed{z = 3}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • equation
  • PEMDAS

let's solve:

  1. [tex] \sf simplify \: substraction : \\ \frac{3}{ \frac{z - 2}{z} } = 3z[/tex]
  2. [tex] \sf simplify \: complex \: fractio n : \\ \frac{3z}{z - 2} = 3z[/tex]
  3. [tex] \sf cross \: multiplication : \\ 3z = 3z(z - 2)[/tex]
  4. [tex] \sf divide \: both \: sides \: by \: 3z : \\ \frac{3z}{3z} = \frac{3z(z - 2)}{3z} \\ 1 = z - 2[/tex]
  5. [tex] \sf add \: 2 \: to \: bot h \: sides : \\ z - 2 + 2 = 1 + 2 \\ \therefore \: z = 3[/tex]