Chapter 2: Q17. (page 110)

Solve each equation. Check your solution. (Lesson 2-4)
$8 p + 3 = 5 p + 9$

Short Answer

Expert verified

$p = 2$ is the solution of the given equation.

Step by step solution

Step 1. Given equation.

$8 p + 3 = 5 p + 9$

Step 2. Description of step.

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

$8 p + 3 = 5 p + 9 8 p - 5 p = 9 - 3 \Rightarrow 3 p = 6 \Rightarrow p = \frac{6}{3} \Rightarrow p = 2$

Thus, $p = 2$ .

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:

$8 p + 3 = 5 p + 9 \leq \Rightarrow 8 (2) + 3 = 5 (2) + 9 \Rightarrow 16 + 3 = 10 + 9 \Rightarrow 19 = 19 \Rightarrow true$

Hence, the solution $p = 2$ satisfies the equation.

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Solve each equation. Check your solution. (Lesson 2-4)
$8 p + 3 = 5 p + 9$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

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Solve each equation. Check your solution. (Lesson 2-4)8p+3=5p+9

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Geometry

Statistics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution. (Lesson 2-4)
$8 p + 3 = 5 p + 9$