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Chapter 2: Q3. (page 100)

Solve each equation. Check your solution.

6n+4=鈭�18

Short Answer

Expert verified

The solution of the given equation is n=鈭�7.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�6n+4=鈭�18鈥�.

02

Step 2. Solve the given equation.

Solving,

6n+4=鈭�18 (Given equation)

6n+24=鈭�18 (Distributive property)

6n+24鈭�24=鈭�18鈭�24 (Subtract 24 from both sides)

6n=鈭�42 (Simplify)

6n6=鈭�426 (Divide both sides by 6)

n=鈭�7 (Simplify)

So, n=鈭�7is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put n=鈭�7in the given equation 6n+4=鈭�18to get,

6鈭�7+4=鈭�186鈭�3=鈭�18鈭�18=鈭�18

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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Most popular questions from this chapter

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

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