Respuesta :

Space

Answer:

(4, -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

x - 2y = 6

y = 11 - 3x

Step 2: Rewrite systems

  1. Define:                              x - 2y = 6
  2. Add 2y on both sides:     x = 2y + 6

x = 2y + 6

y = 11 - 3x

Step 3: Solve for y

  1. Substitute in x:                              y = 11 - 3(2y + 6)
  2. Distribute -3:                                 y = 11 - 6y - 18
  3. Combine like terms:                     y = -6y - 7
  4. Add 6y on both sides:                  7y = -7
  5. Divide 7 on both sides:                y = -1

Step 4: Solve for x

  1. Define:                                        x - 2y = 6
  2. Substitute in y:                           x - 2(-1) = 6
  3. Multiply:                                      x + 2 = 6
  4. Subtract 2 on both sides:          x = 4

Answer:

x=4  y=-1

Step-by-step explanation:

x-2(11-3x)=6

x-22+6x=6

7x-22=6

7x=22+6

x=28/7

x=4

-----------------------------

y=11-3(4)

y=11-12

y=-1

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