PPT-Introduction to Equations

Lesson 622 Prior Earlier in this chapter you learned how to simplify expressions by combining the like terms Example   like terms like terms Prior You also learned that equal opposites create a zero pair. 4 Di64256erence Equations At this point almost all of our sequences have had explicit formulas for their terms That is we have looked mainly at sequences for which we could write the th term as for some known function For example if 1 3 then i e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Lesson Objective:. An equation is like a set of scales.. To keep it balanced, whatever you. do to one side you must do to the other.. Use this idea to solve equations like:. 3x + 1 = x + 7 . 2 (3x + 1) = 3 (x – 2). 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. . Re-Made Version. Coupled Motion. Coupled motion problems are problems in which the movement of one object directly impacts the motion of another object.. We have already briefly covered this topic when talking about pulleys.. & . Continuum QCD. Adnan. BASHIR (U . Michoacan. );. Stan BRODSKY (SLAC);. Lei CHANG (ANL & PKU). ; . Huan. CHEN (BIHEP). ;. Ian CLOËT (UW). ;. Bruno EL-BENNICH (Sao Paulo). ;. Xiomara. GUTIERREZ-GUERRERO (U . 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.. . If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Unit 3. What are . parametrics. ?. Normally we define functions in terms of . one . variable. – . for example, . y . as a function of x. . . Suppose in a graph, each (x, y) depended on a . third variable . Problem 1. There are 25 toys in a playground. . The toys are either bicycles (2 wheels) or tricycles (3 wheels). . In total in the playground there are 61 wheels. . How many bicycles are in the playground?. 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. . Ch. 1.6. Absolute Value Equations and Inequalities . EQ: How can you solve absolute value equations and inequalities? I Will solve absolute value equations and inequalities. . Bell Work. Solve the inequality. Graph the solution. . If you read from left to right . 10 . “is greater than “ . 5. . X. If you read from right to left . 5. . “is less than “ . 10. . X. If you read from left to right . 5. . “is less than “ . Syllabus. Winter 2018. Instructor and Textbook. Instructor: Roxin Zhang. Class: MWF 12:00 – 12:50 pm, . Jamrich. 3315. Office Hours: MWRT 11-11:50 am, . Jamrich. 2208. Text: A First Course in Differential Equations, 11th .