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Chapter 2: Q.42. (page 111)

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

118c+5-8c=240c+25+5

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

The given equation is 118c+5-8c=240c+25+5

02

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

11脳8c+11脳5-8c=2脳40c+2脳25+588c+55-8c=80c+50+580c+55=80c+55

03

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

Subtract 80cfrom each side.

80c+55-80c=80c+55-80c55=55

This is a true statement.

It means the equation is true for any value of the variable.

So, the equation is an identity.

Hence, the solution of this equation is "all real numbers".

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