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Chapter 2: Q42. (page 95)

Solve each equation. Check your solution.

鈭�5x鈭�4.8=6.7

Short Answer

Expert verified

The solution of the given equation is x=鈭�2.3.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�鈭�5x鈭�4.8=6.7鈥�.

02

Step 2. Solve the given equation.

Solving,

鈭�5x鈭�4.8=6.7 (Given equation)

鈭�5x鈭�4.8+4.8=6.7+4.8 (Add 4.8 to both sides)

鈭�5x=11.5 (Simplify)

鈭�5x鈭�5=11.5鈭�5 (Divide both sides by -5)

x=鈭�2.3 (Simplify)

So, x=鈭�2.3is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put x=鈭�2.3in the given equation 鈭�5x鈭�4.8=6.7to get,

鈭�5鈭�2.3鈭�4.8=6.711.5鈭�4.8=6.76.7=6.7

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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