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Rom4ik [11]
3 years ago
10

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

Mathematics
2 answers:
n200080 [17]3 years ago
6 0

Answer:

t = 5/2

General Formulas and Concepts:

<u>Pre-Algebra</u>

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

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3t + 7 = 2 + 5t

<u>Step 2: Solve for </u><u><em>t</em></u>

  1. [Subtraction Property of Equality] Isolate <em>t</em> terms:                                        7 = 2 + 2t
  2. [Subtraction Property of Equality] Isolate <em>t</em> term:                                         5 = 2t
  3. [Division Property of Equality] Isolate <em>t</em>:                                                        5/2 = t
  4. Rewrite:                                                                                                             t = 5/2
Licemer1 [7]3 years ago
6 0

Answer:

<h2>t = ⁵⁄₂ or 2.5</h2>

Explanation:

3t + 7 = 2 + 5t

  • <em>Simplify both sides of the equation</em>

3t + 7 = 5t + 2

  • <em>Subtract 5t from both sides</em>

3t + 7 − 5t = 5t + 2 − 5t

−2t + 7 = 2

  • <em>Subtract 7 from both sides</em>

−2t + 7 − 7 = 2 − 7

−2t = −5

<em>Divide both sides by -2</em>

−2t / -2 = −5 / -2

  • <em>Simplify</em>

t = ⁵⁄₂

  • <em>Turn the fraction into a decimal</em>

t = 2.5

t = ⁵⁄₂ or 2.5

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