Answer:
[tex]\displaystyle \boxed{ c = a + b - D }[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle D = a + b - c[/tex]
Step 2: Solve for c
- [Addition Property of Equality] Add c to both sides:
[tex]\displaystyle \begin{aligned}D = a + b - c & \rightarrow c + D = a + b\end{aligned}[/tex] - [Subtraction Property of Equality] Subtract D on both sides:
[tex]\displaystyle \begin{aligned}D = a + b - c & \rightarrow c + D = a + b \\& \rightarrow \boxed{ c = a + b - D }\end{aligned}[/tex]
∴ we have used equality properties to solve the general formula for c.
---
Learn more about Algebra I: https://brainly.com/question/9972577
---
Topic: Algebra I
