PPT-Systems of Equations

Elimination BINGO Directions Each person should have a BINGO board and an answer sheet Each person must solve the system of equations on their own answer sheet Once everyone has completed the problem then the group can reveal the answer. 100 Contents 1 Systems of FirstOrder Linear Dierential Equations 1 11 General Theory of FirstOrder Linear Systems 1 12 Eigenvalue Metho d for diagonalizable co ecient matrices 3 13 Eigenvalue Metho 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.. 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.. b. y. Tammy Wallace. Varina High School. What is a System of . Inequality?. A SYSTEM OF EQUATIONS is: . SOLUTIONS . to . a SYSTEM . OF . INEQUALITIES are. :. two or more . linear inequalities . with . Summary. Independent. The equations of a linear system are . independent. if . none. of the equations can be derived algebraically from the others. . Independence. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set. . 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. GA Milestones Questions. Study Guide. Make up Work. http://tinyurl.com/hmg336z. CRCT Prep Book Pg. 26 7-8. Homework: Maintenance Sheet 22. Homework Answers. 1. (-3, -2), (0, 3), and (-8, 5). 2. Rotation. By graphing. Definition. A system of linear equations, aka linear system, consists of two or more linear equations with the same variables.. x + 2y = 7. 3x – 2y = 5. The solution. The solution of a system of linear equations is the ordered pair that satisfies each equation in the system. . Andrew Pendergast. Dynamical Systems modeling. Dynamical Systems: Mathematical object to describe behavior that changes over time. Modeling a functional relationship such that time is a primary variable wherein a value or vector function is produced . 1. 2. Elementary Row Operations. There are three kinds of Elementary Row Operations.. 1) Interchanging two rows.. Multiplying a row by a non-zero constant.. Adding a multiple of one row to another row.. 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..  .  . Solutions are found at the intersection of the equations in the system.. Types of Solutions. Section 8.1 – Systems of Linear Equations. Consistent System. One solution. Consistent System. Infinite solutions.