Respuesta :

Space

Answer:

(-3, 4)

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  

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 equation using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3y = -5x - 3

y = -x + 1

Step 2: Rewrite Systems

Equation y = -x + 1

  1. [Multiplication Property of Equality] Multiply everything by -3:                   -3y = 3x - 3

Step 3: Redefine Systems

3y = -5x - 3

-3y = 3x - 3

Step 4: Solve for x

Elimination

  1. Combine 2 equations:                                                                                   0 = -2x - 6
  2. [Addition Property of Equality] Add 6 on both sides:                                  6 = -2x
  3. [Division Property of Equality] Divide -2 on both sides:                              -3 = x

Step 5: Solve for y

  1. Define original equation:                                                                               y = -x + 1
  2. Substitute in x:                                                                                                y = -(-3) + 1
  3. Simplify:                                                                                                           y = 3 + 1
  4. Add:                                                                                                                 y = 4

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