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Chapter 2: Q29. (page 100)

Solve each equation. Check your solution.

35f+24=4鈭�15f

Short Answer

Expert verified

The solution of the given equation is f=鈭�25.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�35f+24=4鈭�15f鈥�.

02

Step 2. Solve the given equation.

Solving,

35f+24=4鈭�15f (Given equation)

35f+24+15f=4鈭�15f+15f (Add 15fto both sides)

45f+24=4 (Simplify)

45f+24鈭�24=4鈭�24 (Subtract 24 from both sides)

45f=鈭�20 (Simplify)

45f脳54=鈭�20脳54 (Multiply both sides by 54)

f=鈭�25 (Simplify)

So, f=鈭�25is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put f=鈭�25in the given equation 35f+24=4鈭�15fto get,

35鈭�25+24=4鈭�15鈭�253鈭�5+24=4鈭�鈭�5鈭�15+24=4+59=9

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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