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Chapter 1: Q62. (page 32)

Solve the equation and check the solution.

7p-4=34+5p

Short Answer

Expert verified

The solution is p=811.

Step by step solution

01

Step 1- Consider the equation.

Consider the equation 7p-4=34-5p.

Simplify the equation as follows:

7p鈭�4=3(4鈭�5p)7p鈭�4=12鈭�15p

02

Step 2- Step description.

Now, simplify the equation obtained as follows:

7p鈭�4=12鈭�15p7p+15p=12+422p=16

03

Step 3- Step description.

Divide both sides of the equation by 22.

22p=16p=1622

Simplify the equation further.

p=1622p=811

Therefore, the solution is p=811.

04

Step 4- Verify the solution.

Substitute p=811 in the equation and simplify as follows:

7p鈭�4=3(4鈭�5p)7(811)鈭�4=3(4鈭�5(811))5611鈭�4=12鈭�1201156鈭�4411=132鈭�120111211=1211

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is p=811.

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