Respuesta :

Plug in x + 2 for y
x + 2 = 4x - 10
Subtract x
2 = 3x - 10
Add 10, 12 = 3x, x = 4
Plug into second equation
y = 4 + 2, y = 6
Solution: x = 4, y = 6... or (4,6)
Space

Answer:

(4, 6)

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

y = 4x - 10

y = x + 2

Step 2: Solve for x

Substitution

  1. Substitute in y:                           4x - 10 = x + 2
  2. Subtract x on both sides:          3x - 10 = 2
  3. Add 10 on both sides:                3x = 12
  4. Divide 3 on both sides:             x = 4

Step 3: Solve for y

  1. Define equation:                     y = x + 2
  2. Substitute in x:                        y = 4 + 2
  3. Add:                                         y = 6