# Solving rational equations

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##### Examples
###### Lessons
1. Solve the following rational equations:
1. $3-\frac{3}{x}=1+\frac{1}{x}$
2. $2x+\frac{15}{x}=13$
2. Solving Rational Equations by cross multiplying
State the non-permissible values for the variable x, then solve algebraically.
1. $\frac{8}{x+4}=\frac{3}{x-1}$
2. $\frac{2x-2}{6x-1}=\frac{3x+4}{9x+5}$
3. Solve
$\frac{2}{x-9}+\frac{20}{x+9}=\frac{80}{x^2-81}$
1. Solve the following equations algebraically:
1. $\frac{2}{x+2}+\frac{3}{x-2}=1$
2. $\frac{2t-3}{t-1}-\frac{3t+1}{t+2}=-1$
2. Solving Rational Equations by factoring
State the non-permissible values for the variables, then solve algebraically.
1. $\frac{x^2-5x+4}{(x-1)}=-4$
2. $\frac{x-1}{x^2-1}=\frac{1}{2x-3}$
###### Topic Notes
In this lesson, we will learn how to state the non-permissible value(s) of rational equations and how to solve them algebraically.
Always find the non-permissible values before solving the rational equations as some answers might have to be rejected.