1 / 4

Solving Equations with Variables on Both Sides: A Comprehensive Guide

This guide focuses on solving equations with variables present on both sides, aiming to identify equations that can be classified as identities or have no solutions. Through various examples, such as (6x + 3 = 8x - 21) and (18x - 5 = 3(6x - 2)), we illustrate how to manipulate and solve these equations. Students will learn the procedures to isolate variables and understand special cases. The goal is to enhance problem-solving skills by providing practical examples and a systematic approach to finding solutions.

herman
Download Presentation

Solving Equations with Variables on Both Sides: A Comprehensive Guide

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. 2.3) Equations with variables on Both Sides Purpose: To solve equations with variables on both sides of the equation Outcome: To identify equations that are identities or have no solution.

  2. Solve the given equation and check your answer • 6x + 3 = 8x -21 • 18x – 5 = 3(6x -2) • What is the name of this type of equation? • How do you solve the equation? • How many solutions does each equation have?

  3. Special cases: Identities and No solutions Solve the equation: Solve the equation: 6m – 5 = 7m + 7 –m How many solutions do you found?___ What is the name of this type of equation? _______ • 10 – 8a = 2(5 -4a) • How many solutions do you Found?____ • What is the name of this type of Equation? _______

  4. Summary:To solve an equation with variables on both sides of the equation:1) Remove ( )2) Combine like terms on each side of the equation3) Send all the variables to one side of the equation and the numbers to the other side4) Solve for the variable5) Check your answer.

More Related