![]() Together you can come up with a plan to get you the help you need. See your instructor as soon as you can to discuss your situation. You should get help right away or you will quickly be overwhelmed. …no – I don’t get it! This is a warning sign and you must not ignore it. Is there a place on campus where math tutors are available? Can your study skills be improved? Who can you ask for help? Your fellow classmates and instructor are good resources. It is important to make sure you have a strong foundation before you move on. In math every topic builds upon previous work. ![]() This must be addressed quickly because topics you do not master become potholes in your road to success. What did you do to become confident of your ability to do these things? Be specific. Reflect on the study skills you used so that you can continue to use them. Congratulations! You have achieved the objectives in this section. We will extend the Addition Property of Equality to say that when you add equal quantities to both sides of an equation, the results are equal.Īfter completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. The Addition Property of Equality says that when you add the same quantity to both sides of an equation, you still have equality. We will finish off the section with a discussion on parallel and perpendicular lines. In addition, we will introduce the standard form of the line as well as the point-slope form and slope-intercept form of the line. We will introduce the concept of slope and discuss how to find it from two points on the line. The Elimination Method is based on the Addition Property of Equality. In this section we will discuss graphing lines. This is what we’ll do with the elimination method, too, but we’ll have a different way to get there. When we solved a system by substitution, we started with two equations and two variables and reduced it to one equation with one variable. The third method of solving systems of linear equations is called the Elimination Method. Introduction to Systems of Equations and Inequalities 7.1 Systems of Linear Equations: Two Variables 7.2 Systems of Linear Equations: Three Variables 7.3 Systems of Nonlinear Equations and Inequalities: Two Variables 7.4 Partial Fractions 7.5 Matrices and Matrix Operations 7.6 Solving Systems with Gaussian Elimination 7.7 Solving Systems. Substitution works well when we can easily solve one equation for one of the variables and not have too many fractions in the resulting expression. Graphing works well when the variable coefficients are small and the solution has integer values. We have solved systems of linear equations by graphing and by substitution. Solve a System of Equations by Elimination
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