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Chapter 2: Q10. (page 100)

Solve each equation. Check your solution.

7c+12=鈭�4c+78

Short Answer

Expert verified

The solution of the given equation is c=6.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�7c+12=鈭�4c+78鈥�.

02

Step 2. Solve the given equation.

Solving,

7c+12=鈭�4c+78 (Given equation)

7c+12+4c=鈭�4c+78+4c (Add 4cto both sides)

11c+12=78 (Simplify)

11c+12鈭�12=78鈭�12 (Subtract 12 from both sides)

11c=66 (Simplify)

11c11=6611 (Divide both sides by 11)

c=6 (Simplify)

So, c=6is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put c=6in the given equation 7c+12=鈭�4c+78to get,

76+12=鈭�46+7842+12=鈭�24+7854=54

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

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