Question

Wyznacz x

\frac{a+x}{x-b} =c

Answer 1

 

Answer 2

   a+x

--------  = c         /*(x-b)

  x-b                                 x≠b

 

  a+x = c(x-b)

  a +x = cx - bc

x - cx  = -bc  -a

x ( 1 - c) = -(bc + a)       /:( 1 -c)

x = -(bc+ a) / (1-c)

x = -(bc + a ) /-(c-1)

x = (bc + a) /(c-1)      c≠1