Question

Solve the equation x - 2y = 1, for y

Answer 1

`\displaystyle y = (x - 1)/(2)`

General Formulas and Concepts:

Pre-Algebra

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Explanation:

Step 1: Define

Identify

`\displaystyle x - 2y = 1`

Step 2: Solve for y

1. [Subtraction Property of Equality] Subtract x on both sides:
   `\displaystyle -2y = 1 - x`
2. [Division Property of Equality] Divide -2 on both sides:
   `\displaystyle y = (1 - x)/(-2)`
3. Rewrite:
   `\displaystyle y = (x - 1)/(2)`