BuxblyblackKiwi
BuxblyblackKiwi BuxblyblackKiwi
  • 23-04-2020
  • Mathematics
contestada

Solve for x:

(3a−b)/(x−b)=1/(x+1) ,if a≠( b+1)/3

Respuesta :

devishri1977
devishri1977 devishri1977
  • 23-04-2020

Answer:

Step-by-step explanation:

[tex]\frac{(3a-b)}{(x-b)}=\frac{1}{(x+1)}\\\\(3a-b)*(x+1)=1*(x-b)\\\\[/tex]

Use FOIL method

3a*x + 3a*1 - b*x -b*1 = x - b

3ax + 3a -bx - b = x -b

3ax - bx -x + 3a - b = -b

x*( 3a - b - 1) + 3a - b = -b

x*( 3a - b - 1) = - b - 3a + b

x*( 3a - b - 1) = -3a

[tex]x=\frac{-3a}{( 3a - b - 1)}[/tex]

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