​Vocabulary

​Two different equations are called Equivalent Equations when the equations have the exact same solution

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​Equations that have the exact same solutions are equivalent equations.

​Example

​Which equation is equivalent to the equation 6x + 9 = 12

​Creating Equivalent Equations

​Use the properties of real numbers to create equivalent equations.

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​Examples of Equivalent Equations:

​x = 15 and x + 3 = 18

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​Why are the equations equivalent?

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​ 2a + 3 = 7 and 6a + 9 = 21

​Find the Equivalent Equations

​Use the properties of real numbers to create equivalent equations.

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​Commutative Property a + b = b + a

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​Associative Property a+ (b + c) = (a + b) + c

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​Distributive Property a(b + c) = ab + ac

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​Multiplication inverse property g * 1/g = 1

​Unit 2, Lesson 6 Practice Problem Linear Graph - Page 85

​Here is a graph of the equation

3x - 2y = 12

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​To find the coordinate pairs that represent a solution, look for the points on the line graph.

​Example: (2, -3)