Respuesta :

Space

Answer:

(-2, 5)

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

Algebra I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = 14

x = 2y - 12

Step 2: Solve for y

Substitution

  1. Substitute in x:                    3(2y - 12) + 4y = 14
  2. Distribute 3:                         6y - 36 + 4y = 14
  3. Combine like terms:           10y - 36 = 14
  4. Isolate y term:                     10y = 50
  5. Isolate y:                              y = 5

Step 3: Solve for x

  1. Define equation:                    x = 2y - 12
  2. Substitute in y:                       x = 2(5) - 12
  3. Multiply:                                  x = 10 - 12
  4. Subtract:                                 x = -2