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Chapter 2: Q34. (page 94)

Solve each equation. Check your solution.

65=34c鈭�7

Short Answer

Expert verified

The solution of the given equation is c=96.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�65=34c鈭�7鈥�.

02

Step 2. Solve the given equation.

Solving,

65=34c鈭�7 (Given equation)

65+7=34c鈭�7+7 (Add 7 to both sides)

72=34c (Simplify)

72脳43=34c脳43 (Multiply both sides by 43)

96=c (Simplify)

c=96 (Write the variable on the left-hand side)

So, c=96is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put c=96in the given equation 65=34c鈭�7to get,

65=3496鈭�765=324鈭�765=72鈭�765=65

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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