Respuesta :

Space

Answer:

(5, -8)

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

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

Step-by-step explanation:

Step 1: Define Systems

5x + 2y = 9

y = -x - 3

Step 2: Solve for x

Substitution

  1. Substitute in y:                                                                                                 5x + 2(-x - 3) = 9
  2. [Distributive Property] Distribute 2:                                                                5x - 2x - 6 = 9
  3. Combine like terms:                                                                                        3x - 6 = 9
  4. [Addition Property of Equality] Add 6 on both sides:                                   3x = 15
  5. [Division Property of Equality] Divide 3 on both sides:                                 x = 5

Step 3: Solve for y

  1. Define original equation:                                                                                y = -x - 3
  2. Substitute in x:                                                                                                 y = -5 - 3
  3. Subtract:                                                                                                          y = -8
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