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Chapter 2: Q.40. (page 112)

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

602x-1=158x+5

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

The given equation is602x-1=158x+5.

02

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

60脳2x-60=15脳8x+15脳5120x-60=120x+75

03

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

Subtract 120xfrom each side.

120x-60-120x=120x+75-120x-60=75(false)

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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