Answer:
[tex]\displaystyle x = \frac{Uk}{v + w}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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
[tex]\displaystyle U = \frac{x(v + w)}{k}[/tex]
Step 2: Solve for x
- [Multiplication Property of Equality] Multiply k on both sides: [tex]\displaystyle Uk = x(v + w)[/tex]
- [Division Property of Equality] Isolate x: [tex]\displaystyle \frac{Uk}{v + w} = x[/tex]
- Rewrite: [tex]\displaystyle x = \frac{Uk}{v + w}[/tex]