Respuesta :

Space

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Algebra I

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-3x + 10y = 11

-8x + 2y = -20

Step 2: Rewrite systems

-8x + 2y = -20

  1. Add 8x to both sides:                    2y = 8x - 20
  2. Divide 2 on both sides:                 y = 4x - 10

Step 3: Redefine systems

-3x + 10y = 11

y = 4x - 10

Step 4: Solve for x

Substitution

  1. Substitute in y:                         -3x + 10(4x - 10) = 11
  2. Distribute 10:                            -3x + 40x - 100 = 11
  3. Combine like terms:                37x - 100 = 11
  4. Add 100 to both sides:            37x = 111
  5. Divide 37 on both sides:         x = 3

Step 5: Solve for y

  1. Define original equation:                    -3x + 10y = 11
  2. Substitute in x:                                     -3(3) + 10y = 11
  3. Multiply:                                                -9 + 10y = 11
  4. Add 9 to both sides:                             10y = 20
  5. Divide 10 on both sides:                       y = 2

Step 6: Graph system

Check the system.

Ver imagen Space

Otras preguntas