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Find the solution for the system of linear equations by substitution: y = x + 6
y + 2x = 0

Respuesta :

Space

Answer:

(-2, 4)

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = x + 6

y + 2x = 0

Step 2: Solve for x

  1. Substitute:                         (x + 6) + 2x = 0
  2. Combine like terms:         3x + 6 = 0
  3. Isolate x term:                   3x = -6
  4. Isolate x:                            x = -2

Step 3: Solve for y

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

And we have our answer!

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