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Chapter 2: Q.37. (page 112)

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

7v+42=113v+8-213v-1

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 is7v+42=113v+8-213v-1.

02

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

7v+42=11脳3v+11脳8-2脳13v+2脳17v+42=33v+88-26v+2

03

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

Subtract 7vfrom each side.

7v+42-7v=7v+90-7v42=90(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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