#### Rational equation word problem

## What are the examples of rational equation?

Example | |
---|---|

Solve | |

Multiply both sides of the equation by the common denominator. | |

7x – 14 + 5x + 10 =10x – 2 12x – 4 =10x – 2 | Simplify |

12x – 10x – 4 = 10x – 10x – 2 2x – 4 = -2 2x – 4 + 4 = -2 + 4 2x = 2 x = 1 | Solve for x Check to be sure that the solution is not an excluded value. (It is not.) |

## How do you write a rational equation?

The steps to solving a rational equation are:Find the common denominator.Multiply everything by the common denominator.Simplify.Check the answer(s) to make sure there isn’t an extraneous solution.

## What is rational expressions and equations?

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.

## When can we use rational functions to solve a problem?

Rational expressions can help you solve problems about combining two peoples’ rates to finish a project. To solve them, think of the rate in terms of fractions of the full project, then write an expression and work through it!.

## How do you find the LCD of a rational equation?

To solve a rational equation with the LCD, you find a common denominator, write each fraction with that common denominator, and then multiply each side of the equation by that same denominator to get a nice quadratic equation.

## What is the first step in solving a rational equation?

Step 1: Eliminate all fractions. In this case, we can either multiply by the LCD or cross multiply to eliminate the fractions. Step 2: Simplify the resulting equation. To simplify the equation you may need to distribute and combine like terms.

## How do you simplify rational equations?

Step 1: Factor both the numerator and denominator of the fraction. Step 2: Reduce the fraction. Step 3: Rewrite any remaining expressions in the numerator and denominator. Step 1: Factor both the numerator and denominator of the fraction.

## What are the solutions to the equation?

An equation is an algebraic expression which typically relates unknown variables to other variables or constants. For example, x + 2 = 15 is an equation, as is y^{2} = 4. The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.