Math Problem Statement

2m+8c = 6

Solution

To solve the equation 2m+8c=62m + 8c = 6, you need to express one variable in terms of the other or find specific values for mm and cc.

Let's solve for mm in terms of cc:

2m+8c=62m + 8c = 6

Step 1: Subtract 8c8c from both sides

2m=68c2m = 6 - 8c

Step 2: Divide both sides by 2

m=68c2m = \frac{6 - 8c}{2}

Simplifying the right-hand side: m=34cm = 3 - 4c

Thus, m=34cm = 3 - 4c.

Do you want further details or have any questions?

Here are 5 related questions to extend your learning:

  1. What happens if c=0c = 0? What is the value of mm?
  2. Can you solve for cc in terms of mm from the original equation?
  3. How would you graph the relationship between mm and cc?
  4. What are the values of mm and cc if both are positive integers?
  5. How does the equation change if the constant on the right-hand side is different?

Tip: Always isolate one variable step by step to make solving easier!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

2m + 8c = 6
m = (6 - 8c) / 2

Theorems

Basic algebraic manipulation

Suitable Grade Level

Grades 7-9