Question

Perform the operation x-y/2 - x+y/3

Answer 1

`\displaystyle (x - y)/(6)`

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Explanation:

Step 1: Define

Identify.

`\displaystyle (x - y)/(2) - (x + y)/(3)`

Step 2: Condense

1. Rewrite:
   `\displaystyle (3(x - y))/(3(2)) - (2(x + y))/(2(3))`
2. Combine:
   `\displaystyle (3(x - y) - 2(x + y))/(3(2))`
3. (Parenthesis) Distribute:
   `\displaystyle (3x - 3y - 2x + 2y)/(3(2))`
4. Combine like terms:
   `\displaystyle (x - y)/(3(2))`
5. [Order of Operations] Evaluate:
   `\displaystyle (x - y)/(6)`