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Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solution, identify each equation as an identify, a contradiction, or neither

a) 20-4x=12-x+8-3x

b) 5x+4x-3=24+8x

c) 5x+6=2x+6+3x-15

Respuesta :

Answer:

Step-by-step explanation:

a) 20 - 4x = 12 - x + 8 - 3x

  • 20 - 4x = 12 + 8 - x - 3x
  • 20 - 4x = 20 - 4x
  • x has an infinite number of solutions
  • identity

b) 5x + 4x - 3 = 24 + 8x

  • 9x - 3 = 24 + 8x
  • 9x - 8x - 3 = 24 + 8x - 8x
  • x - 3 = 24
  • x - 3 + 3 = 24 + 3
  • x = 27
  • x has one solution
  • neither

c) 5x + 6 = 2x + 6 + 3x - 15

  • 5x + 6 - 2x = 2x + 6 + 3x - 15 - 2x
  • 3x + 6 = 6 + 3x - 15
  • 3x + 6 - 3x = 6 + 3x - 15 - 3x
  • 6 = 6 - 15
  • no solution
  • contradiction

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