Make x the subject !!!!!! Please

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