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Chapter 2: Q17. (page 94)

Solve each equation. Check your solution.

1+r9=4

Short Answer

Expert verified

The solution of the given equation is r=27.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�1+r9=4鈥�.

02

Step 2. Solve the given equation.

Solving,

1+r9=4 (Given equation)

1+r9鈭�1=4鈭�1 (Subtract 1 from both sides)

r9=3 (Simplify)

r9脳9=3脳9 (Multiply both sides by 9)

r=27 (Simplify)

So, r=27is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put r=27in the given equation 1+r9=4to get,

1+279=41+3=44=4

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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