Lesson 3­Solving Systems Using Elimination.notebook                 December 11, 2017
                           6.3 Solving Systems using 
                                         Elimination
           objective: to solve systems by adding or subtracting to 
           eliminate a variable
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     Lesson 3­Solving Systems Using Elimination.notebook                 December 11, 2017
          elimination method: uses the properties of 
          adding and subtracting equations to 
          eliminate a variable in the system
          Elimination involves algebraic manipulations of two or more 
          equations. The end goal is to eliminate a variable by 
          creating opposite coefficients.  
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     Lesson 3­Solving Systems Using Elimination.notebook                 December 11, 2017
              What is the solution to the system?
                                  2x+5y=17
                                  6x­5y=­9
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     Lesson 3­Solving Systems Using Elimination.notebook                 December 11, 2017
                                 Steps to Elimination
          1. Multiply one or both equations so that one 
          of the variables has the same coefficients 
          with opposite signs.
          2. Add the equations vertically so that one 
          variable is eliminated.
          3. Solve for the leftover variable.
          4. Substitute the variable back into one of 
          the original equations and solve for the 
          opposite variable.
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