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Mastering Literal Equations: Techniques & Examples

Understand literal equations involving multiple variables. Learn steps to solve for a specific variable, with examples for practice.

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Mastering Literal Equations: Techniques & Examples

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  1. Lesson 2.2aEQ: How do I solve a literal equation for a specified variable?Standard(CED.4) Literal Equations

  2. Introduction • Concept: Literal Equations • EQ: How do I solve a literal equation for a specified variable? (Standard: CED.4) • Vocabulary: Literal Equation

  3. Review • Last class we went more in depth with the proofs of an equation • Today, we will dive into what a literal equation is.

  4. What is a Literal Equation? • Literalequations are equations that involve two or more variables. • Sometimes it is useful to rearrange or solve literal equations for a specific variable in order to find a solution to a given problem. • In this lesson, literal equations and formulas, or literal equations that state specific rules or relationships among quantities, will be examined.

  5. Steps: Solving a Literal Equation • Isolate the variable you’re solving by moving all other terms to the opposite side of the equal sign. • Combinelike terms on each side of the equal sign. • Solvefor the variable. • Simplify.

  6. Example 1: Solve for x

  7. Example 2: Solvefor x

  8. Example 3: Solvefor x2x - 4y = 7

  9. Example 4: Solve for y 4x – 2y = 12

  10. Example 5: Solve for y

  11. You Try: Solvefory 15x – 5y = 25

  12. You Try: Solvefory4y + 3x = 16

  13. You Try: Solve for y

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