Chapter 2: Q. 2.90 (page 250)

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution: $8 (1 - 3 x) + 15 (2 x + 7) = 2 (x + 50) + 4 (x + 3) + 1$

Short Answer

Expert verified

The solution is identity equation.

Step by step solution

Step 1. Given information

Equation: $8 (1 - 3 x) + 15 (2 x + 7) = 2 (x + 50) + 4 (x + 3) + 1$

Step 2. Calculation

We have,

$8 (1 - 3 x) + 15 (2 x + 7) = 2 (x + 50) + 4 (x + 3) + 1 \Rightarrow 8 - 24 x + 30 x + 105 = 2 x + 100 + 4 x + 12 + 1 \Rightarrow 6 x + 113 = 6 x + 113 \Rightarrow 6 x - 6 x + 113 = 6 x - 6 x + 113 \Rightarrow 113 = 113$

Therefore, the equation is identity.

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: $8 (1 - 3 x) + 15 (2 x + 7) = 2 (x + 50) + 4 (x + 3) + 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution: 8(1-3x)+15(2x+7)=2(x+50)+4(x+3)+1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Pure Maths

Probability and Statistics

Decision Maths

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: $8 (1 - 3 x) + 15 (2 x + 7) = 2 (x + 50) + 4 (x + 3) + 1$