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Chapter 2: Q31. (page 94)

Solve each equation. Check your solution.

45=7鈭�5n

Short Answer

Expert verified

The solution of the given equation is n=鈭�385.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�45=7鈭�5n鈥�.

02

Step 2. Solve the given equation.

Solving,

45=7鈭�5n (Given equation)

role="math" localid="1642484583779" 45鈭�7=7鈭�5n鈭�7 (Subtract 7 from both sides)

38=鈭�5n (Simplify)

38鈭�5=鈭�5n鈭�5 (Divide both sides by -5)

鈭�385=n (Simplify)

n=鈭�385 (Write the variable on the left-hand side)

So, n=鈭�385is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put n=鈭�385in the given equation 45=7鈭�5nto get,

45=7鈭�5鈭�38545=7鈭�1鈭�3845=7+3845=45

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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