Respuesta :

Space

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

3x + 3y = -9

Step 2: Solve for x

Substitution

  1. Substitute in y:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate x term:                               6x = -12
  5. Isolate x:                                        x = -2

Step 3: Solve for y

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

Step 4: Graph systems

Check the solution set.

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