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Chapter 1: Problem 12

Use the commutative property of addition to write an equivalent algebraic expression. $$10 x+9 y$$

Short Answer

Expert verified
The equivalent expression using the commutative property of addition is \(9y + 10x\).

Step by step solution

01

Identify the commutative property

The commutative property of addition states that changing the order of the addends does not change the result. This concept can be written like this for any two numbers (or variables) A and B: A + B = B + A.
02

Apply commutative property to the given expression

In the given expression, \(10x+9y\), x and y are the variables and the commutative property can be applied to produce an equivalent expression. By switching the order of addends, the equivalent expression is \(9y + 10x\).

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