zara62 zara62
  • 07-07-2021
  • Mathematics
contestada

3x=4(c-d)/d make d the subject

Respuesta :

Leora03
Leora03 Leora03
  • 07-07-2021

Answer:

[tex]d = \frac{4c}{3x + 4} [/tex]

Step-by-step explanation:

[tex]3x = \frac{4(c - d)}{d} [/tex]

Multiply both sides by d:

[tex]3xd = 4(c - d)[/tex]

Expand:

[tex]3xd = 4c \: - 4d[/tex]

+4d on both sides:

[tex]3xd + 4d = 4c[/tex]

Factorise d out of the left-hand side:

[tex]d(3x + 4) = 4c[/tex]

Divide both sides by (3x +4):

[tex]d = \frac{4c}{3x + 4} [/tex]

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