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Chapter 2: Q18. (page 100)

Solve each equation. Check your solution.

5g+8鈭�7=103

Short Answer

Expert verified

The solution of the given equation is g=14.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�5g+8鈭�7=103鈥�.

02

Step 2. Solve the given equation.

Solving,

5g+8鈭�7=103 (Given equation)

5g+8鈭�7+7=103+7 (Add 7 to both sides)

5g+8=110 (Simplify)

5g+85=1105 (Divide both sides by 5)

g+8=22 (Simplify)

g+8鈭�8=22鈭�8 (Subtract 8 from both sides)

g=14 (Simplify)

So, g=14is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put g=14in the given equation 5g+8鈭�7=103to get,

514+8鈭�7=103522鈭�7=103110鈭�7=103103=103

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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