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Chapter 2: Q33. (page 94)

Solve each equation. Check your solution.

5x9鈭�11=鈭�51

Short Answer

Expert verified

The solution of the given equation is x=鈭�72.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�5x9鈭�11=鈭�51鈥�.

02

Step 2. Solve the given equation.

Solving,

5x9鈭�11=鈭�51 (Given equation)

5x9鈭�11+11=鈭�51+11 (Add 11 to both sides)

5x9=鈭�40 (Simplify)

5x9脳95=鈭�40脳95 (Multiply both sides by 95)

x=鈭�72 (Simplify)

So, x=鈭�72is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=鈭�72in the given equation 5x9鈭�11=鈭�51to get,

5鈭�729鈭�11=鈭�515鈭�8鈭�11=鈭�51鈭�40鈭�11=鈭�51鈭�51=鈭�51

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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