Chapter 2: Q.37. (page 112)

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.
$7 v + 42 = 11 (3 v + 8) - 2 (13 v - 1)$

Short Answer

Expert verified

The equation is a contradiction and the equation has no solution.

Step by step solution

Step 1. Given information.

The given equation is $7 v + 42 = 11 (3 v + 8) - 2 (13 v - 1)$ .

Step 2. Apply the distributive property to simplify the equation.

$7 v + 42 = 11 \times 3 v + 11 \times 8 - 2 \times 13 v + 2 \times 1 7 v + 42 = 33 v + 88 - 26 v + 2$

Step 3. Collect all variables terms on other side of the equation.

Subtract $7 v$ from each side.

$7 v + 42 - 7 v = 7 v + 90 - 7 v 42 = 90 (f a l s e)$

This equation is false for all values of variable.

So, the equation is a contradiction.

Hence, the equation has no solution.

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Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.
$7 v + 42 = 11 (3 v + 8) - 2 (13 v - 1)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the distributive property to simplify the equation.

Step 3. Collect all variables terms on other side of the equation.

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Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.7v+42=113v+8-213v-1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Apply the distributive property to simplify the equation.

Step 3. Collect all variables terms on other side of the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

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Calculus

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Study anywhere. Anytime. Across all devices.

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.
$7 v + 42 = 11 (3 v + 8) - 2 (13 v - 1)$