Math Problem Statement

7c-2c=45

Solution

To solve the equation 7c2c=457c - 2c = 45:

  1. Combine like terms: (7c2c)=5c(7c - 2c) = 5c The equation becomes: 5c=455c = 45

  2. To isolate cc, divide both sides by 5: c=455=9c = \frac{45}{5} = 9

So, the solution is c=9c = 9.

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

  1. What is the general method for solving linear equations?
  2. How do you check if a solution to an equation is correct?
  3. How do you solve an equation with variables on both sides?
  4. What are the steps to solve equations involving parentheses?
  5. How can you solve equations that contain fractions?

Tip: Always double-check your answer by substituting it back into the original equation to verify!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Combining like terms
Simple division to isolate variable

Theorems

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Suitable Grade Level

Grades 6-8