Chapter 2: Q 2.11 (page 104)

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

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

The given equation is $4 + 9 (3 x - 7) = - 42 x - 13 + 23 (3 x - 2)$ .

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

Combine like terms and simplify.

$4 + 9 (3 x - 7) = - 42 x - 13 + 23 (3 x - 2) 4 + 27 x - 63 = - 42 x - 13 + 69 x - 46 27 x - 59 = 27 x - 59 27 x - 27 x - 59 = 27 x - 27 x - 59 - 59 = - 59$

This is a true statement.

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

Step 3. Conclusion.

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

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

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

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

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

Statistics

Geometry

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

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

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