Respuesta :

Space

Answer:

(4, 1)

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

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

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 7

y = -x + 5

Step 2: Solve for x

Substitution

  1. Substitute in y:                                                                                                2x - 7 = -x + 5
  2. [Addition Property of Equality] Isolate x terms:                                            3x - 7 = 5
  3. [Addition Property of Equality] Isolate x term:                                              3x = 12
  4. [Division Property of Equality] Isolate x:                                                       x = 4

Step 3: Solve for y

  1. Define original equation:                                                                               y = -x + 5
  2. Substitute in x:                                                                                                y = -4 + 5
  3. Add:                                                                                                                 y = 1
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