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Chapter 2: Q15. (page 94)

Solve each equation. Check your solution.

y5鈭�6=8

Short Answer

Expert verified

The solution of the given equation is y=70.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�y5鈭�6=8鈥�.

02

Step 2. Solve the given equation.

Solving,

y5鈭�6=8 (Given equation)

y5鈭�6+6=8+6 (Add 6 to both sides)

y5=14 (Simplify)

y5脳5=14脳5 (Multiply both sides by 5)

y=70 (Simplify)

So, y=70is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put y=70in the given equation y5鈭�6=8to get,

705鈭�6=814鈭�6=88=8

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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