1 / 7

Solving Linear Equations: Basic Concepts and Properties

Understand how to solve linear equations and apply properties of equality. Learn step-by-step methods to isolate variables in equations. Examples provided for practice.

hannelorem
Download Presentation

Solving Linear Equations: Basic Concepts and Properties

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1.3 Solving Linear Equations p. 19

  2. What is an equation? • A statement in which 2 expressions are = Ex: Which of the following are equations? • 3x-7=12 b. 24x+5 • 2x-7x2+4x3 d. 12x+3= -4x-8

  3. Properties of Equality • Property of Equality for Addition - can add the same term to both sides of an equation. • Property of Equality for Subtraction - can subtract the same term from both sides of an equation. • Property of Equality for Multiplication - can multiply both sides of an equation by the same term. • Property of Equality for Division - can divide both sides of an equation by the same term. ** So basically, whatever you do to one side of an equation, you MUST do to the other!

  4. To solve an equation for a variable: • Look for Distributive Property. • Combine like terms on same side of equal sign • Do order of operations backwards (undo +/- first, then mult/div.) • Keep going until the variable is by itself on one side of the equation • You may have to simplify each side first.

  5. Example: Solve for the variable.

  6. Ex: Solve for x.

  7. 5(x-4)=5x+12 5x-20=5x+12 -20=12 This is not true! Answer: No solution 7x+14 -3x=4x+14 4x+14=4x+14 0=0 This one makes sense, but there’s no variable left! Answer: All real numbers Ex: Solve the equations.

More Related