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 is $q = - \frac{9}{11}$ .

Step by step solution

Step 1. Given information.

The given equation is $11 (q + 3) - 5 = 19$ .

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

Combine like terms and simplify.

$11 (q + 3) - 5 = 19 11 q + 33 - 5 = 19 11 q + 28 = 19 11 q + 28 - 28 = 19 - 28 11 q = - 9 \frac{11 q}{11} = \frac{- 9}{11} q = - \frac{9}{11}$

The equation is true when $q = - \frac{9}{11}$ .

Thus, this is a conditional equation. The solution is $q = - \frac{9}{11}$ .

Step 3. Conclusion.

This is a conditional equation. The solution is $q = - \frac{9}{11}$ .

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Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:
$11 (q + 3) - 5 = 19$

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Conclusion.

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Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:11(q+3)-5=19

Short Answer

Step by step solution

Step 1. Given information.

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

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Applied Mathematics

Pure Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:
$11 (q + 3) - 5 = 19$