Solve for t

Question

(at+b) / (ct-b) = 1

 

Answer 1

The goal is to get all the t-terms together.

 

Multiply both sides of the equation by (ct - b).

 

at + b = ct - b

 

 

Subtract ct and subtract b on both sides of the equation.

 

at - ct = -b - b

 

at - ct = -2b

 

 

Next, we factor out a t on the left side.

 

t(a - c) = -2b

 

 

Finally, divide both sides of the equation by (a - c).

 

t = -2b / (a - c)