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Answer:

(-15, 3)

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

x + 5y = 0

3y + 2x = -21

Step 2: Rewrite Systems

x + 5y = 0

  1. Subtract 5y on both sides:          x = -5y

Step 3: Redefine Systems

x = -5y

3y + 2x = -21

Step 4: Solve for y

Substitution

  1. Substitute in x:                     3y + 2(-5y) = -21
  2. Multiply:                                3y - 10y = -21
  3. Combine like terms:             -7y = -21
  4. Isolate y:                                y = 3

Step 5: Solve for x

  1. Define equation:                    x + 5y = 0
  2. Substitute in y:                       x + 5(3) = 0
  3. Multiply:                                  x + 15 = 0
  4. Isolate x:                                 x = -15

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