PPT-Solve Linear Systems by Graphing

Objectives To solve a system of linear equations by graphing To classify a system of linear equations as consistent independent and dependent or inconsistent To graph a system of linear inequalities. Eraser Game. !. A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?. 3.1 – . Systems of Linear Equations in Two Variables. 1. Suppose we have two linear equations. :. . . Together, they make a ________________________________ (also called a . ___________________).. Ch. 3.2. Solving Systems Algebraically. EQ: How can I solve systems algebraically? I will solve systems algebraically. . Bell Work. Without graphing, determine how many solutions, if any, the system has. . Solve for x.. 2. . . 3. . . . 4. .  . Unit 3 Day 5: Solving One and Two Step Linear Inequalities. Essential Questions:. How do we graph linear inequalities in one variable? How do we solve one and two step linear inequalities?. A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?. Solve by substitution. Contents. Problem Statement. Motivation. Types . of . Algorithms. Sparse . Matrices. Methods to solve Sparse Matrices. Problem Statement. Problem Statement. The . solution . of . the linear system is the values of the unknown vector . Algebra 2. Chapter 3. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Chapter 3.8. Square Matrix. Although a matrix may have any number of rows and columns, . square matrices. have properties that we can use to solve systems of equations. A square matrix is one of the form . What does solving a system mean?. In yesterday’s homework, we investigated Cool Copy Company and Bountiful Brochures. . What happened when you graphed the lines?. The lines intersected.. What does that intersection mean?. by . Graphing. Key Terms:. A system of two linear Equations – in ____ variables x and y, consist of two linear equations. . Solution – consist of an order pair_____ .. Two Types:. Consistent – At least one Solution. Essential Question: How do you solve systems of linear equations in more than two variables?. What is a multivariable system?. This is a system that contains more than 2 variables..  . What does a solution look like?. A “System” is a . set of equations.. A . Linear System. is two linear equations (two lines). Solving . a Linear . System. The . point of . intersection of the lines . is called . the . “solution”. Algebra 1: Unit 7. Graphing linear equations. Graphing Linear Equations. The steps to graphing a linear equation:. Step . 1: Create an x/y chart. Step 2: Pick two points for x. Step 3: Determine the value of y given x. 2. 8.1: First Order Systems. We now look at systems of linear differential equations.. One of the main reasons is that any nth order differential equation with n > 1 can be written as a first order system of n equations in n unknown functions..