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Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Solving Systems of Equations.

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Presentation on theme: "Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Solving Systems of Equations."— Presentation transcript:

1 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Solving Systems of Equations

2 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Solving Systems of Equations (2,-6,3)

3 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. What about this one?

4 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Solving Systems of Linear Equations with Three Variables Using Elimination and Substitution Step 1: Reduce the system to two equations in two variables using elimination. Step 2: Solve the resulting system of two equations using elimination or substitution. Step 3: Substitute the solutions in Step 2 into any of the original equations and solve for the third variable. Step 4: Check the solution in each of the three original equations.

5 What do equations with three variables look like?

6 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Your Turn! Click mouse to continue

7 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Your Turn! Click mouse to continue with answer Answer 1 of 3

8 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Your Turn! Click mouse to continue with answer Answer 2 of 3

9 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. Your Turn! Answer 3 of 3

10 Algebra and Trigonometry by Cynthia Y. Young, © 2007 John Wiley and Sons. All rights reserved. HOMEWORK  P900-903: 3, 5, 13, 15, 31, 33, 41, 47-49


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