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Chapter 2: Q57. (page 102)

Solve each equation. Check your solution. (Lesson 2-3)

9+y5=6

Short Answer

Expert verified

The solution of the given equation is y=鈭�15.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�9+y5=6鈥�.

02

Step 2. Solve the given equation.

Solving,

9+y5=6 (Given equation)

9+y5鈭�9=6鈭�9 (Subtract 9 from both sides)

y5=鈭�3 (Simplify)

y5脳5=鈭�3脳5 (Multiply both sides by 5)

y=鈭�15 (Simplify)

So, y=鈭�15is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put y=鈭�15in the given equation 9+y5=6to get,

9+鈭�155=69+鈭�3=69鈭�3=66=6

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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