How to solve systems of equations

    • [DOC File]SOLVE SYSTEMS OF EQUATIONS - Bloomfield College

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      SOLVE SYSTEMS OF EQUATIONS BY GRAPHING METHOD. Solve x + y = 8 x - y = 2. Both equations are linear. Therefore, both their graphs will be lines. That is why a graph can be used to find the solution. STEPS: 1) Graph both linear equations on the same coordinate plane. 2) The point, (x, y), at which the two lines intersect is the solution to the ...

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    • [DOC File]Lesson: Systems of Equations

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      Solve 3 by 3 systems of linear equations by elimination and using technology, and interpret graphically what the solution means (a point, line, plane, or no solution). (Patterns, Functions, and Algebra Standard, Grade 11, Indicator 9) Set up and solve systems of equations …

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    • [DOCX File]Solving Systems of Equations

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      Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing : on pairs of linear equations in two variables. Purpose/Big Idea: This activity will help students better understand how systems of equations are created in order to demystify this topic. Students will work in pairs where they will alternate creating a ...

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    • [DOC File]8-1 Solving Systems of Equations

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      Solving Systems of Equations by Substitution **BASIC IDEA- You are taking 2 equations with 2 different variables and writing it as 1 equation with 1 variable. Example 1. Use substitution to solve the following system of equations. X + 4y = 1. 2x – 3y = -9. Step1 –Choose a variable to solve for in either equation.

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    • Solving Systems of Linear Equations in Three Variables

      To solve such a system means to find the coordinate triple (x, y, z) that makes all three equations a true statement. A Graphical Representation Whereas linear equations in two variables are graphed as lines in the two-dimensional Cartesian coordinate plane, linear equations in three variables require three-dimensional space to be graphed.

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    • [DOC File]Solving Linear Systems with Graphing-7

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      7.1 – Solving Systems of Equations by Graphing Homework . Solve these linear systems by graphing. y = -x + 3 and y = 2x – 6 2) y = -x + 3 and y = x + 1 . 3) x – y = 2 and x + y = -6 4) x + y = -2 and 7x – 4y = 8. Steps for Solving a Linear System Using Graphing: Put the equations in slope-intercept or standard form. Graph each equation ...

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    • [DOC File]Solving Systems of Equations

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      Solving Systems of Equations. In order to solve for two variables, you need to have two equations. If you only have one equation there are an infinite amount of ordered pairs (x,y) that will work. For example: 4x – 2y = 16 you can have x = 4 and y = 0 (4,0) and (2, -2) and (0, -4) and an infinite amount of others.

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    • [DOC File]Solving Systems of Equations

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      Solving Systems of Equations. Elimination Relay #1. Solve the system of equations by using elimination. Person 1: Eliminate the y’s and write the new equation (do not solve). Person 2: Solve the equation for x. Person 3: Plug x in for the 1st equation. Person 4: Solve the equation above for y. Person 5: Determine the solution: Solving Systems ...

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    • [DOC File]Solving Systems of Equations

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      Solving Systems with Linear Combinations (“Elimination”): Sometimes solving a system of equations using substitution can be very difficult. For these problems we solve using Linear Combinations (or Elimination). With elimination you solve by eliminating one of the variables. This is accomplished by adding the 2 equations together.

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    • [DOC File]Overview:

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      Students will use a graphing calculator to solve linear systems of equations in two variables using graphing features and table features. Students will then learn the algebraic methods of substitution and elimination. Students will identify which method is most appropriate for a given system, and use these systems to solve practical applications.

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