Making x the subject of the equation.
These are two examples, one specific, and one more general, where you are given y as a function of x, and we want to find what x is in terms of y, so we want to make x the subject of the equation. Algebraic operations are used and details shown to solve this question.
Question 1: If y=(3x+1)/(7x-3), make x the subject of the equation.
and more generally, for all examples of this type we have
Question 2: Suppose that y=(ax+b)/(cx+d), where a,b,c,d are real numbers. Make x the subject of the equation. (That is, find x in terms of y and a,b,c,d)© BrainMass Inc. brainmass.com March 4, 2021, 8:57 pm ad1c9bdddf
The solution uses the laws and rules of algebra to solve the equation and make y the subject, so that y is by itself on the left hand side of the equation.