Chapter 2: Q.34. (page 112)

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.
$24 (3 d - 4) + 100 = 52$

Short Answer

Expert verified

The equation is a conditional equation and the solution of this equation is $d = \frac{2}{3}$ .

Step by step solution

Step 1. Given information

The given equation is $24 (3 d - 4) + 100 = 52$ .

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

$24 \times 3 d - 24 \times 4 + 100 = 52 72 d - 96 + 100 = 52 72 d + 4 = 52$

Step 3. Collect all constant terms on one side of the equation and then simplify.

Subtract $4$ from each side.

$72 d + 4 - 4 = 52 - 4 72 d = 48$

Divide each side by $72$ .

$\frac{72 d}{72} = \frac{48}{72} d = \frac{2}{3}$

From the above result, we can say that the given equation is true only for $d = \frac{2}{3}$ .

So, the equation is a conditional equation.

Hence, the solution of the given equation is $d = \frac{2}{3}$ .

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Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.
$24 (3 d - 4) + 100 = 52$

Short Answer

Step by step solution

Step 1. Given information

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

Step 3. Collect all constant terms on one side of the equation and then simplify.

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Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.243d-4+100=52

Short Answer

Step by step solution

Step 1. Given information

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

Step 3. Collect all constant terms on one side of the equation and then simplify.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Pure Maths

Geometry

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.
$24 (3 d - 4) + 100 = 52$