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3х + 4 = 14 х = 2y - 12
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1 vote
3х + 4 = 14
х = 2y - 12

User Neoweiter
by
5.9k points

1 Answer

4 votes

Answer:

(-2, 5)

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

Algebra I

  • Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

3x + 4y = 14

x = 2y - 12

Step 2: Solve for y

Substitution

  1. Substitute in x: 3(2y - 12) + 4y = 14
  2. Distribute 3: 6y - 36 + 4y = 14
  3. Combine like terms: 10y - 36 = 14
  4. Isolate y term: 10y = 50
  5. Isolate y: y = 5

Step 3: Solve for x

  1. Define equation: x = 2y - 12
  2. Substitute in y: x = 2(5) - 12
  3. Multiply: x = 10 - 12
  4. Subtract: x = -2
User Iqra
by
6.2k points
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