PPT-3-2: Solving Systems of Equations

using Elimination Steps 1 Place both equations in Standard Form A x B y C 2 Determine which variable to eliminate with Addition or Subtraction 3 Solve for the variable left. Solve systems of equations by using substitution and elimination.. How to . U. se Substitution. Solve one of the equations for one of the variables.. Isolate one of the variables in one of the equations.. Lesson Objective:. An equation is like a set of scales.. To keep it balanced, whatever you. do to one side you must do to the other.. Use this idea to solve equations like:. 3x + 1 = x + 7 . 2 (3x + 1) = 3 (x – 2). Multiplication . Equations. 3-3 Solving . Multiplication . Equations. Solve. Solution. GOAL. Find the value of the variable that makes the. equation TRUE.. The value that makes the equation true.. To isolate the variable (have the variable on one. Substitution and Elimination. Elimination. Arrange the equations in STANDARD FORM. . . Your goal is to find a way to eliminate one of the variables so you can solve a one-variable equation.. . 21. (. 5-. 6. ). Homework: maintenance sheet 24 & study island . . Due tomorrow!!. Unit Test Friday. Learning Target: Solving systems of equations algebraically . Homework Check 1-8. Part A. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. Mathematical Language. A . solution. of an equation is a number that make the equation true. 3x+2=17. To . solve. an equation means to find all its solution. Two equations are equivalent if they have the same solutions. If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Equations Using Algebra Tiles . Objectives. Solving Equations Involving the Distributive Property. Solving Multi-Step Equations. Solving Equations. The development of the equation solving model is based on two ideas.. Only those with single-step equation experience dare proceed!. Section 6.4. Equation Solving. When we solve equations, our goal is to find the . _______. . of the . variable. ; the . _________. . to the equation. . Unit 4. Review:. Slope and Slope-Intercept. Slope and Slope-Intercept Form. Slope-Intercept Form. :. . . is . ______ . and . is the . __________ . of the line.. Graph is a . straight non-vertical line. Examples:. . 1). . . x 3 = 15. . 2) p – 5 = 20. 3) 2d = 16. 4). . = 24.  . Multi-Step Equations. Examples—. 5). 2p 15 = 29. 6). 14 – 3n = -10. 7). 27 = -9(y 5). 8). 7a – 3a 2a – a = 16. GCSE: Solving Quadratic Equations Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 2 nd June 2015 Overview There are 4 ways in which we can solve quadratic equations.   1 By Factorising 2