PPT-Solve Linear Systems by Substitution

What does solving a system mean In yesterdays homework we investigated Cool Copy Company and Bountiful Brochures What happened when you graphed the lines The lines intersected What does that intersection mean. The Pendleton County School District is trying to decide on a new copier. The purchasing . committee has . been given quotes on two new machines. One sells for $20,000 and costs $0.02 per copy . to operate. 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.. 3.1 – . Systems of Linear Equations in Two Variables. 1. Suppose we have two linear equations. :. . . Together, they make a ________________________________ (also called a . ___________________).. Advanced Algebra. Write a System of Equations and Solve. . You buy 5 pairs of socks for $19. The wool socks cost $5 per pair and the cotton socks cost $3 per pair. How many of each kind of sock did you purchase?. 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. . I can solve systems of linear equations by using substitution.. Try This. Solve the following system by substituting:. y = 3x and x y = -32. (-8, -24). How to . U. se Substitution. Solve one of the equations for one of the variables.. 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.. 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 . 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?. 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.. 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. Section . 3.2a. 8/10/2012 8:57 PM. 3.2a - Solving Systems through Substitution. 1. Steps in Substitution. SOLVE. . for one equation into one variable. REPLACE. . one equation into other equation. SUBSTITUTE.