Math Problem Statement

solve for indicated letter T=c+dv\frac{c+d}{v} for d

Solution

To solve for dd in the equation:

T=c+dvT = \frac{c + d}{v}

We will isolate dd step by step.

Step 1: Multiply both sides by vv to eliminate the denominator:

Tv=c+dT \cdot v = c + d

Step 2: Subtract cc from both sides to solve for dd:

d=Tvcd = T \cdot v - c

So, the solution is: d=Tvcd = T \cdot v - c

Would you like further clarification or details on any step?

Related Questions:

  1. How do you solve for cc in the same equation?
  2. How does this approach change if vv was part of a quadratic equation?
  3. What are some practical uses of this equation in physics?
  4. How would the solution change if we had T=(c+d)v2T = \frac{(c + d)}{v^2}?
  5. Can you rearrange other similar equations using these steps?

Tip: Always start by eliminating fractions when solving for a variable in an equation with division.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Equation Rearrangement

Formulas

T = (c + d) / v
d = T * v - c

Theorems

Properties of linear equations

Suitable Grade Level

Grades 8-10