Respuesta :

Space

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

  1. Substitute in x:                              13(y + 6) - 6y = 22
  2. Distribute 13:                                 13y + 78 - 6y = 22
  3. Combine like terms:                      7y + 78 = 22
  4. Isolate y term:                                7y = -56
  5. Isolate y:                                         y = -8

Step 3: Solve for x

  1. Define original equation:                    x = y + 6
  2. Substitute in y:                                     x = -8 + 6
  3. Add:                                                      x = -2

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