Respuesta :

Space

Answer:

(-1, -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  

Distributive Property

Equality Properties

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

Algebra I

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

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

Step 3: Solve for y

  1. Substitute in x [Original Equation]:                                                                  y = -1 - 1
  2. Subtract:                                                                                                            y = -2

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