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Use the substitution method to solve the system of equations. Choose the correct ordered pair.

3x + y = 10
y = x – 2

Respuesta :

Space

Answer:

(3, 1)

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

3x + y = 10

y = x - 2

Step 2: Solve for x

  1. Substitute:                    3x + (x - 2) = 10
  2. Combine like terms:     4x - 2 = 10
  3. Isolate x term:               4x = 12
  4. Isolate x:                        x = 3

Step 3: Solve for y

  1. Define original equation:          y = x - 2
  2. Substitute in x:                           y = 3 - 2
  3. Subtract:                                     y = 1

And we have our answer!

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