Respuesta :
Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Algebra I
- Terms/Coefficients
Step-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
- [Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t
- [Subtraction Property of Equality] Isolate t term: 5 = 2t
- [Division Property of Equality] Isolate t: 5/2 = t
- Rewrite: t = 5/2
Answer:
t = ⁵⁄₂ or 2.5
Explanation:
3t + 7 = 2 + 5t
- Simplify both sides of the equation
3t + 7 = 5t + 2
- Subtract 5t from both sides
3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
- Subtract 7 from both sides
−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
- Simplify
t = ⁵⁄₂
- Turn the fraction into a decimal
t = 2.5
t = ⁵⁄₂ or 2.5