Respuesta :

Space

Answer:

D. (4, 0)

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

-x + 5y = -4

4x + 3y = 16

Step 2: Rewrite systems

x = 5y + 4

4x + 3y = 16

Step 3: Solve for y

  1. Substitute in x:                              4(5y + 4) + 3y = 16
  2. Distribute 4:                                   20y + 16 + 3y = 16
  3. Combine like terms:                     23y + 16 = 16
  4. Subtract 16 on both sides:           23y = 0
  5. Divide 23 on both sides:              y = 0

Step 4: Solve for x

  1. Define:                              4x + 3y = 16
  2. Substitute in y:                 4x + 3(0) = 16
  3. Multiply:                            4x = 16
  4. Isolate x:                            x = 4

And we have our final answer!

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