7 5 Solving Equations Containing Rational Expressions Solving

Solving Equations First note that an equation contains an equal sign and an expression

Solving Equations Example: Solve the following rational equation. Check in the original equation. true

Solving Equations Example: Solve the following rational equation. Continued. Martin-Gay, Beginning and Intermediate Algebra,

Solving Equations Example continued: Substitute the value for x into the original equation, to

Solving Equations for a Specified Variable Example: Solve the following equation for R 1

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§ 7. 5 Solving Equations Containing Rational Expressions

Solving Equations First note that an equation contains an equal sign and an expression does not. To solve EQUATIONS containing rational expressions, clear the fractions by multiplying both sides of the equation by the LCD of all the fractions. Then solve as in previous sections. Note: this works for equations only, not simplifying expressions. Martin-Gay, Beginning and Intermediate Algebra, 4 ed 2

Solving Equations Example: Solve the following rational equation. Check in the original equation. true Martin-Gay, Beginning and Intermediate Algebra, 4 ed 3

Solving Equations Example: Solve the following rational equation. Continued. Martin-Gay, Beginning and Intermediate Algebra, 4 ed 4

Solving Equations Example continued: Substitute the value for x into the original equation, to check the solution. true So the solution is Martin-Gay, Beginning and Intermediate Algebra, 4 ed 5

Solving Equations Example: Solve the following rational equation. Continued. Martin-Gay, Beginning and Intermediate Algebra, 4 ed 6

Solving Equations Example continued: Substitute the value for x into the original equation, to check the solution. true So the solution is Martin-Gay, Beginning and Intermediate Algebra, 4 ed 7

Solving Equations Example: Solve the following rational equation. Continued. Martin-Gay, Beginning and Intermediate Algebra, 4 ed 8

Solving Equations Example continued: Substitute the value for x into the original equation, to check the solution. true So the solution is x = 3. Martin-Gay, Beginning and Intermediate Algebra, 4 ed 9

Solving Equations Example: Solve the following rational equation. Continued. Martin-Gay, Beginning and Intermediate Algebra, 4 ed 10

Solving Equations Example continued: Substitute the value for x into the original equation, to check the solution. Since substituting the suggested value of a into the equation produced undefined expressions, the solution is . Martin-Gay, Beginning and Intermediate Algebra, 4 ed 11

Solving Equations for a Specified Variable Example: Solve the following equation for R 1 Martin-Gay, Beginning and Intermediate Algebra, 4 ed 12