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Solving Simultaneous Equations: Transitive Property Example

Learn how to solve a set of simultaneous equations using the transitive property with an example. Understand pairing equations and using ordered pairs for answers.

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Solving Simultaneous Equations: Transitive Property Example

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  1. BELL-WORK Solve for x: 2 – x = 4a x + 5 4a(x + 5) = 2 – x 4ax + 20a = 2 – x 4ax + x = 2 – 20a x(4a + 1) = 2 – 20a x = 2 – 20a 4a + 1

  2. A Set of Simultaneous Equations A set of simultaneous equations is formed when two or more linear equations are joined together. Example:

  3. A Set of Simultaneous Equations A set of simultaneous equations is formed when two or more linear equations are joined together. Example: *Be sure to use curly braces to indicate the to equations are being paired together.

  4. A Set of Simultaneous Equations A set of simultaneous equations is formed when two or more linear equations are joined together. Example: Note: A set of simultaneous equations can also be referred to as a system of linear equations.

  5. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations:

  6. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations: If y = 2x – 3 ANDy = x – 1, what must also be true based on the transitive property?

  7. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations: By the transitive property of equality: 2x – 3 = x – 1

  8. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations: x = 2

  9. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations: y = ?

  10. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations: y = 1

  11. Solving a Set of Simultaneous Equations Solve the following set of simultaneous equations: As much as possible, write your answer as an ordered pair: (2,1)

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