Respuesta :

Space

Answer:

D (4, 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

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + 2y = 12

6x - 2y = 20

Step 2: Solve for x

Elimination

  1. Combine 2 equations:                                                                                      8x = 32
  2. [Division Property of Equality] Divide 8 on both sides:                                  x = 4

Step 3: Solve for y

  1. Define original equation:                                                                                 2x + 2y = 12
  2. Substitute in x:                                                                                                  2(4) + 2y = 12
  3. Multiply:                                                                                                             8 + 2y = 12
  4. [Subtraction Property of Equality] Subtract 8 on both sides:                        2y = 4
  5. [Division Property of Equality] Divide 2 on both sides:                                  y = 2

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