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Chapter 2: Q 2.11 (page 104)

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:


4+9(3x-7)=-42x-13+23(3x-2)

Short Answer

Expert verified

The equation is an identity and the solution is all real numbers.

Step by step solution

01

Step 1. Given information.

The given equation is4+9(3x-7)=-42x-13+23(3x-2).

02

Step 2. Use the Distributive Property to remove any parentheses. 

Combine like terms and simplify.

4+9(3x-7)=-42x-13+23(3x-2)4+27x-63=-42x-13+69x-4627x-59=27x-5927x-27x-59=27x-27x-59-59=-59

This is a true statement.

Thus, the equation is an identity and the solution is all real numbers.

03

Step 3. Conclusion.

The equation is an identity and the solution is all real numbers.

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