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3x – 2y = 0 4x + 2y = 14 solve by elimination​

User Austin R
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1 Answer

14 votes

Answer:

(2, 3)

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
  • Subtract Property of Equality

Algebra I

  • Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

3x - 2y = 0

4x + 2y = 14

Step 2: Solve for x

Elimination

  1. Combine equations: 7x = 14
  2. Divide 7 on both sides: x = 2

Step 3: Solve for y

  1. Define equation: 3x - 2y = 0
  2. Substitute in x: 3(2) - 2y = 0
  3. Multiply: 6 - 2y = 0
  4. Isolate y term: -2y = -6
  5. Isolate y: y = 3
User Koushik Veldanda
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