Respuesta :

Space

Answer:

(8, -7)

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 equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x + 7y = -1

x - y = 15

Step 2: Rewrite Systems

x - y = 15

  1. [Addition Property of Equality] Isolate x:                                                         x = y + 15

Step 3: Solve for y

Substitution

  1. Substitute in x [1st Equation]:                                                                           6(y + 15) + 7y = -1
  2. [Distributive Property] Distribute 6:                                                                 6y + 90 + 7y = -1
  3. Combine like terms:                                                                                         13y + 90 = -1
  4. [Subtraction Property of Equality] Isolate y term:                                           13y = -91
  5. [Division Property of Equality] Isolate y:                                                         y = -7

Step 4: Solve for x

  1. Substitute in y [2nd Equation]:                                                                         x - (-7) = 15
  2. Simplify:                                                                                                             x + 7 = 15
  3. [Subtraction Property of Equality] Isolate x:                                                   x = 8

Otras preguntas