4.3 Solving Systems by the Elimination Method What are your objectives for Section 4.3? How can you accomplish each objective? 1 Solve a Linear System Using the Elimination • Follow Examples 1–3 in order to fully understand how the elimination method works. • Write the procedure for Solving a System of Two Linear Equations by the Elimination Method in your own words. • Complete the given examples on your own. • Complete You Trys 1–3. 2 Solve a Linear System Using the Elimination Method: Special Cases • Understand that not all systems will have one solution, and review Section 4.1 to see the different types of systems. • Complete the given examples on your own. • Complete You Trys 4 and 5. 3 Use the Elimination Method Twice to Solve • Complete the given example on your own, and recognize when using elimination twice will be an easier way to solve a system. • Complete You Try 6. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Solve a Linear System Using the Elimination Method The next technique we will learn for solving a system of equations is the elimination method. (This is also called the addition method.) It is based on the addition property of equality that says that we can add the same quantity to each side of an equation and preserve the equality. If a b, then a c b c. We can extend this idea by saying that we can add equal quantities to each side of an equation and still preserve the equality. If a b and c d, then a c b d. The object of the elimination method is to add the equations (or multiples of one or both of the equations) so that one variable is eliminated. Then, we can solve for the remaining variable. Method a Linear System 262 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
To see the actual publication please follow the link above