PPT-Solving Systems of Equations Algebraically

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 onevariable equation . 1 Algebraically closed 64257elds Spring 2009 only this section is necessary you can safely ignore Sections 62 and 63 We say that a 64257eld is algebraically closed if every nonconstant poly nomial has a root in there exists such that 0 Examples 6 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.. 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). 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.. 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. . 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 “ . _____________________________________________________________. Algebra 1 – Solving . Equations - Math is Hip. ™. Prerequisite Skills Needed:. - . Order of Operations. - Add/Subtract & Multiply/Divide . Anne Watson. South West, 2012. What is algebra?. What are the pre-algebraic experiences appropriate for . primary children?. Hypothetical ....... ....... but still a valuable exercise. Sources. Draft curriculum. 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 “ . A function is . even . if. A function is . odd . if. All of the exponents of the variable are even.. All of the exponents of the variable are odd.. A function is . neither . if. The exponents are a mixture of odd and even. 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.. 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. Solving Absolute Value . Inequalities. Situation. The Frito-Lay plant has strict standards when it comes to bagging their products. The weight of the chips in a snack-size bag must be within 0.15 ounces of the advertised size of 1.75 ounces in order to be sent to the store shelf. . 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.