Math Problem Statement

9=5+2p

Solution

To solve the equation 9=5+2p9 = 5 + 2p, follow these steps:

  1. Subtract 5 from both sides to isolate the term with pp on one side:

95=2p9 - 5 = 2p

4=2p4 = 2p

  1. Divide both sides by 2 to solve for pp:

p=42=2p = \frac{4}{2} = 2

So, the solution is p=2p = 2.

Would you like more details, or do you have any questions?

Here are 5 related questions:

  1. What is the method for solving linear equations?
  2. How can you check the solution of an equation?
  3. What happens when variables are on both sides of the equation?
  4. How would the solution change if the equation were 9=5+3p9 = 5 + 3p?
  5. What is the difference between an equation and an expression?

Tip: Always perform inverse operations in the reverse order of operations to isolate the variable when solving equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic linear equation formula: ax + b = c

Theorems

Inverse operations in linear equations

Suitable Grade Level

Grades 6-8