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Chapter 2: Q14. (page 94)

Solve each equation. Check your solution.

9x+27=鈭�72

Short Answer

Expert verified

The solution of the given equation is x=鈭�11.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�9x+27=鈭�72鈥�.

02

Step 2. Solve the given equation.

Solving,

9x+27=鈭�72 (Given equation)

9x+27鈭�27=鈭�72鈭�27 (Subtract 27 from both sides)

9x=鈭�99 (Simplify)

9x9=鈭�999 (Divide both sides by 9)

x=鈭�11 (Simplify)

So, x=鈭�11is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=鈭�11in the given equation 9x+27=鈭�72to get,

9鈭�11+27=鈭�72鈭�99+27=鈭�72鈭�72=鈭�72

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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