Respuesta :

Space

Answer:

k = -2

j = 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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

j + k = 3

j - k = 7

Step 2: Rewrite Systems

j - k = 7

  1. [Addition Property of Equality] Add k on both sides:                                     j = 7 + k

Step 3: Redefine Systems

j + k = 3

j = 7 + k

Step 4: Solve for k

Substitution

  1. Substitute in j [1st Equation]:                                                                            7 + k + k = 3
  2. [Addition] Combine like terms:                                                                        7 + 2k = 3
  3. [Subtraction Property of Equality] Subtract 7 on both sides:                        2k = -4
  4. [Division Property of Equality] Divide 2 on both sides:                                  k = -2

Step 5: Solve for k

  1. Substitute in k [1st Equation]:                                                                           j - 2 = 3
  2. [Addition Property of Equality] Add 2 on both sides:                                    j = 5

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