Respuesta :

Space

Answer:

(3, 14)

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

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

Step-by-step explanation:

Step 1: Define Systems

y = 6x - 4

y = 7x - 7

Step 2: Solve for x

Substitution

  1. Substitute in y [1st Equation]:                                                                           6x - 4 = 7x - 7
  2. [Subtraction Property of Equality] Subtract 7x on both sides:                       -x - 4 = -7
  3. [Addition Property of Equality] Add 4 on both sides:                                     -x = -3
  4. [Division Property of Equality] Divide -1 on both sides:                                 x = 3

Step 3: Solve for y

  1. Substitute in x [2nd Equation]:                                                                         y = 7(3) - 7
  2. Multiply:                                                                                                             y = 21 - 7
  3. Subtract:                                                                                                             y = 14