**Awasome How To Solve Rational Equations Algebra 2 Ideas**. The following figure shows how to solve rational equations. The lcd is 2 u ( 3 u − 2) 2 u ( 3 u − 2).

If you get extraneous solutions, check the. Solve equations with rational expressions. Solve and check the answer:

### Find The Least Common Denominator Of All Denominators In The Equation.

In algebra 1, students solves linear and quadratic equations, and learned how the two processes are based on the same logical principles. Solve equations with rational expressions. Multiply both sides of the equation, i.e., every term of the equation with the least common denominator.

### For Solving Rational Equations, We Can Use Following Methods:

Multiply by lcd step 2: Solving rational equations means knowing how to manipulate fraction (rational) expressions that include variables, in order to solve. Factorize all the denominators to find the least common denominator.

### Find The Least Common Denominator Of All Denominators In The Equation.

We can use another method of solving the equation without finding the lcd: The final answer is x = 2 after checking it back into the original rational equation. Sometimes we have a rational equation in the form of a proportion;

### The Following Figure Shows How To Solve Rational Equations.

Clear the fractions by multiplying both sides of the equation by the lcd. Solve equations with rational expressions. Note any value of the variable that would make any denominator zero.

### The Lcd Is 2 U ( 3 U − 2) 2 U ( 3 U − 2).

If you get extraneous solutions, check the. Solve equations with rational expressions. That is, when one fraction equals another fraction and there are no other terms in the equation.