Treść zadania

Najlepsze rozwiązanie

• 

  2 2

  sonar 23.3.2011 (20:39)

  a)
  1/2x - 4 = x-6
  1/2x - x= -6 + 4
  -1/2x = -2
  x= -2 : (-1/2)
  x= -2 * (-2/1)
  x= 4/1
  x= 4
  
  
  spr.
  1/2x - 4 = x-6
  1/2 * 4 - 4= 4 - 6
  4/2 - 4= -2
  2-4 = -2
  -2=-2
  L=P
  
  
  b)
  x-5 = 1/3x+ 1 /*3
  3x - 15 = x + 3
  3x -x = 3 + 15
  2x = 18
  x= 18 : 2
  x= 9
  
  
  spr.
  x-5 = 1/3x+ 1
  9-5 = 1/3 * 9 + 1
  4= 9/3 + 1
  4 = 3+1
  4=4
  L=P
  
  c)
  x/4 - 1/4 = 2 /*4
  x-1 = 8
  x= 8+1
  x= 9
  
  
  spr.
  x/4 - 1/4 = 2
  9/4 - 1/4 = 2
  8/4 =2
  2=2
  L=P
  
  
  d)
  x/5 - 3 = x + 1/5 /*5
  x - 15 = 5x + 1
  x- 5x = 1 +15
  -4x = 16
  x= 16 : (-4)
  x= -4
  
  spr.
  x/5 - 3 = x + 1/5
  -4/5 - 3 = -4 + 1/5
  -3 i 4/5 = - 3 i 4/5
  L=P
  
  
  e)
  5/6 *(x-1) = 4 /:5/6
  x-1 = 4 : 5/6
  x-1 = 4 * 6/5
  x-1 = 24/5
  x= 24/5 + 1
  x= 24/5 + 5/5
  x= 29/5
  x= 5 i 4/5
  
  
  spr.
  5/6 *(x-1) = 4
  5/6 * (5 i 4/5 -1) = 4
  5/6 * 4 i 4/5 = 4
  5/6 * 24/5 =4 (skracam 5 z 5 oraz 6 z 24)
  1/1 * 4/1= 4
  4/1 = 4
  4=4
  L=P
  
  
  f)
  -1/2*(-x -6) = -x /: (-1/2)
  -x - 6 = -x : (-1/2)
  -x -6 = -x *(-2/1)
  -x -6 = 2x
  -x - 2x = 6
  -3x = 6
  x= 6 : (-3)
  x= -2
  
  
  spr.
  -1/2*(-x -6) = -x
  -1/2 * (-(-2) -6) = -(-2)
  -1/2 *(2 -6) = 2
  -1/2 * (-4) = 2
  4/2= 2
  2=2
  L=P

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