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3t + 7 = 2 +5t , then find the value of t.​

Sagot :

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Answer:

t = 5/2

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  

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

  1. [Subtraction Property of Equality] Isolate t terms:                                        7 = 2 + 2t
  2. [Subtraction Property of Equality] Isolate t term:                                         5 = 2t
  3. [Division Property of Equality] Isolate t:                                                        5/2 = t
  4. Rewrite:                                                                                                             t = 5/2
Fqx

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

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