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Solve Systems of Linear Equations in Three Variables

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Presentation on theme: "Solve Systems of Linear Equations in Three Variables"— Presentation transcript:

1 Solve Systems of Linear Equations in Three Variables
Notes 3.5 (Day 3) Solve Systems of Linear Equations in Three Variables

2 The Linear Combination (Elimination) Method for a 3-variable System
Step 1: Find the easiest variable to eliminate. Step 2: Eliminate that variable two times using different equations. (you may have to multiply the equations to make the variables cancel) Step 3: Use the two new equations to make a linear system with two variables. Step 4: Pick the easiest variable to eliminate in the new system of equations. Step 5: Eliminate that variable. (you may have to multiply the equations to make the variables cancel) Step 6: Solve for the remaining variable. Step 7: Plug in the solution to the two variable system and solve for another variable. Step 8: Plug in the two solved variables into one of the three given equations ** If there is already a variable missing in one of the equations, use the other two equations to eliminate that variable again.

3 Solve the system using the Elimination Method.

4 Solve the system using the Elimination Method.

5 Solve the system using the Elimination Method.

6 Homework: Solving Systems of Equations w/ Elimination WS


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