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Chapter 2: Q17. (page 110)

Solve each equation. Check your solution. (Lesson 2-4)

8p+3=5p+9

Short Answer

Expert verified

p=2 is the solution of the given equation.

Step by step solution

01

Step 1. Given equation.

8p+3=5p+9

02

Step 2. Description of step.

To solve the given equation first take the like terms on one side, and then simplify as:

8p+3=5p+98p鈭�5p=9鈭�3鈬�3p=6鈬�p=63鈬�p=2

Thus, p=2.

03

Step 3. Check solution.

In order to check the solution, put the value of p back in the given equation and see if it satisfies the equation, i.e. of left hand side is equals to right hand side, as:

8p+3=5p+9鈮�鈬�82+3=52+9鈬�16+3=10+9鈬�19=19鈬�true

Hence, the solution p=2 satisfies the equation.

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