Math Problem Statement

-5c + d = 2c

Solution

Let's solve the equation step by step:

Given: 5c+d=2c-5c + d = 2c

Step 1: Move all terms involving cc to one side of the equation.

To do this, add 5c5c to both sides: d=2c+5cd = 2c + 5c

Step 2: Simplify the right-hand side. d=7cd = 7c

So, the solution is: d=7cd = 7c

This means dd is 7 times the value of cc.


Would you like more details on this?

Here are some related questions:

  1. What happens if we isolate cc instead of dd?
  2. How would this equation change if we had +5c+5c instead of 5c-5c?
  3. How can we solve this equation if we know the value of cc?
  4. What is the relationship between cc and dd in this equation?
  5. How would the equation change if we had a constant on both sides, such as d=7c+3d = 7c + 3?

Tip: When solving for a variable, try to isolate it by moving other terms to the opposite side using basic arithmetic operations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Solving for Variables

Formulas

Linear equation properties
Addition and simplification

Theorems

Solving linear equations by isolating variables

Suitable Grade Level

Grades 7-9