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Chapter 2: Q.38. (page 112)

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

18u-51=94u+5-63u-10

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 is18u-51=94u+5-63u-10.

02

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

18u-51=9脳4u+9脳5-6脳3u+6脳1018u-51=36u+45-18u+6018u-51=18u+105

03

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

Subtract 18ufrom each side.

18u-51-18u=18u+105-18u-51=105(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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