# Making x the subject of the equation.

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)

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#### Solution Summary

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.

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