Respuesta :

Space

Answer:

(12, -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

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x + 7y = -2

3x + y = 34

Step 2: Rewrite Systems

x + 7y = -2

  1. [Subtraction Property of Equality] Subtract 7y on both sides:                       x = -2 - 7y

Step 3: Redefine Systems

x = -2 - 7y

3x + y = 34

Step 3: Solve for y

Substitution

  1. Substitute in x [2nd Equation]:                                                                         3(-2 - 7y) + y = 34
  2. [Distributive Property] Distribute 3:                                                                 -6 - 21y + y = 34
  3. [Addition] Combine like terms:                                                                        -6 - 20y = 34
  4. [Addition Property of Equality] Add 6 on both sides:                                    -20y = 40
  5. [Division Property of Equality[ Divide -20 on both sides:                              y = -2

Step 4: Solve for x

  1. Substitute in y [1st Equation]:                                                                           x + 7(-2) = -2
  2. Multiply:                                                                                                             x - 14 = -2
  3. [Addition Property of Equality] Add 14 on both sides:                                   x = 12
x = 12! Hope this helps

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