Respuesta :

Answer:

x = [tex]\frac{1-by}{y-a}[/tex]

Step-by-step explanation:

y = [tex]\frac{ax+1}{x+b}[/tex] ← multiply both sides by (x + b)

y(x + b) = ax + 1 ← distribute parenthesis on left side by y

yx + by = ax + 1 ( subtract ax from both sides )

yx - ax + by = 1 ( subtract by from both sides )

yx - ax = 1 - by ( factor x out of each term on the left side )

x(y - a) = 1 - by ← divide both sides by (y - a)

x = [tex]\frac{1-by}{y-a}[/tex]

Answer:

Step-by-step explanation:

1.  Eliminate fractions by multiplying both sides of this equation by x + b:

                                                                   y(x + b) = ax + 1

2.  Perform the indicated multiplication:   xy + yb = ax + 1

3.  Group together the x-terms                  xy - ax = 1 - yb, or x(y - a) = 1 - yb

                                                                               

                                                                               1 - yb

4.  Divide both sides by (y - a):                    x = ----------------

                                                                                  y - a