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Chapter 12: Q29. (page 745)

Solve each equation. State any extraneous solutions.

3c=2c+2

Short Answer

Expert verified

The solution of the equation is 鈭�6.

Step by step solution

01

Step 1. State the concept for observational studies.

The linear equation in one variable is an equation which is expressed in the form of ax+b=0, where localid="1648196958283" aand bare two integers, and xis a variable and has only one solution.

02

Step 2. Solve the equation.

The equation can be solved as follows:

3c=2c+23c+2=2c3c+6=2c3c+6鈭�2c=2c鈭�2cc+6=0c=鈭�6

03

Step 3. Check the solution.

To check the solution, substitutec=6 for in the original equation,

3c=2c+23鈭�6=2鈭�6+2鈭�2=2鈭�4鈭�2=鈭�2LHS=RHS

Since both sides are equal, the equation is correct.

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