Respuesta :

Space

Answer:

(0, 4)

x = 0

y = 4

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

12x - 5y = -20

y = x + 4

Step 2: Solve for x

Substitution

  1. Substitute in y:                              12x - 5(x + 4) = -20
  2. Distribute -5:                                  12x - 5x - 20 = -20
  3. Combine like terms:                     7x - 20 = -20
  4. Isolate x term:                               7x = 0
  5. Isolate x:                                        x = 0

Step 3: Solve for y

  1. Define original equation:                    y = x + 4
  2. Substitute in x:                                     y = 0 + 4
  3. Add:                                                      y = 4