Chapter 2: Q. 2.15 (page 105)

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution: $12 c + 5 (5 + 3 c) = 3 (9 c - 4)$

Short Answer

Expert verified

The equation is contradiction. There is no solution for the equation.

Step by step solution

Step 1. Given information

The equation is $12 c + 5 (5 + 3 c) = 3 (9 c - 4)$ .

Solve the equation to classify.

Step 2. Calculation

Simplify the equation $12 c + 5 (5 + 3 c) = 3 (9 c - 4)$

$12 c + 25 + 15 c = 27 c - 12$

Combine like terms and compare both sides

$27 c + 25 = 27 c - 12$

25≠(-12)

Which is contradiction

Step 3. Conclusion

There is no solution for the equation. So the equation is contradiction.

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Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution: $12 c + 5 (5 + 3 c) = 3 (9 c - 4)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Conclusion

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Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:12c+5(5+3c)=3(9c-4)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Geometry

Discrete Mathematics

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution: $12 c + 5 (5 + 3 c) = 3 (9 c - 4)$