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Chapter 2: Q.39. (page 112)

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

453y-2=915y-6

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 is453y-2=915y-6.

02

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

45脳3y-45脳2=9脳15y-9脳6135y-90=135y-54

03

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

Subtract 135yfrom each side.

135y-90-135y=135y-54-135y-90=-54(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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