Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Elimination.

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Presentation transcript:

Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Elimination

Benefits of Solving by Elimination No Graphing!!! Less work with fractions!!!!!!!!! (typically)

How to solve a system of linear equations by elimination Step 1: Multiply, if necessary, one or both equations by a constant so at least 1 pair of like terms has the same or opposite coefficients. Step 2: Add or subtract the equations to eliminate one of the variables. Step 3: Solve the resulting equation for the remaining variable. Step 4: Substitute the value from step 3 into one of the original equations and solve.

Example 1

Example 2

Example 3