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Chapter 2: Q 2.13 (page 104)

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

11(q+3)-5=19

Short Answer

Expert verified

This is a conditional equation. The solution isq=-911.

Step by step solution

01

Step 1. Given information.

The given equation is11(q+3)-5=19.

02

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

Combine like terms and simplify.

11(q+3)-5=1911q+33-5=1911q+28=1911q+28-28=19-2811q=-911q11=-911q=-911

The equation is true when q=-911.

Thus, this is a conditional equation. The solution is q=-911.

03

Step 3. Conclusion.

This is a conditional equation. The solution isq=-911.

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