alexmcmanama2007 alexmcmanama2007
  • 20-05-2022
  • Mathematics
contestada

Solve for c.
a(c − b) = d

Respuesta :

Esther
Esther Esther
  • 24-05-2022

Answer:

[tex]\large \textsf{$c = \dfrac{d+ab}{a}$}\\\\[/tex]

Step-by-step explanation:

1. Distribute a:

a(c - b) = d

a(c) + a(-b) = d

ac - ab = d

2. Add 'ab' to both sides:

ac - ab + ab = d + ab

3. Divide both sides by 'a' to isolate 'c':

[tex]\large \textsf{$\dfrac{ac}{a} = \dfrac{d+ab}{a}$}\\\\\large \textsf{$c = \dfrac{d+ab}{a}$}\\\\[/tex]

Hope this helps!

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