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Chapter 2: Q.35. (page 112)

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

223m-4=82m+9

Short Answer

Expert verified

The equation is a conditional equation and the solution of this equation ism=165.

Step by step solution

01

Step 1. Given information.

The given equation is223m-4=82m+9.

02

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

22脳3m-22脳4=8脳2m+8脳966m-88=16m+72

03

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

Subtract 16mfrom each side.

66m-88-16m=16m+72-16m50m-88=72

04

Step 4. Collect all constant terms on another side of the equation and then simplify.

Add 88to each side.

role="math" localid="1644044469809" 50m-88+88=72+8850m=160

Divide each side by 50.

50m50=16050m=165

From the above result, we can say that the given equation is true only for m=165.

So, the equation is a conditional equation.

Hence, the solution of the given equation ism=165.

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