Treść zadania

Najlepsze rozwiązanie

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  2 0

  ewka13 19.6.2013 (17:12)

  a)
  5x + 6 - x = 8 + x
  
  5x - x - x = 8 - 6
  
  3x = 2 / : 3
  
  x = 2/3
  
  spr.
  L = 5*2/3 + 6 - 2/3=6 + 10/3 - 2/3=6 + 8/3=6 + 2 i 2/3=8 i 2/3
  P = 8 + 2/3 =8 i 2/3
  L = P
  
  b)
  3 (2x + 1) + x = 8x + 1
  
  6x + 3 + x =8x +1
  
  6x + x - 8x = 1 - 3
  
  -x = -2 / :(-1)
  
  x = 2
  
  spr.
  L = 3(2*2 + 1) + 2=3* 5 +2=15 + 2 = 17
  P = 8*2 + 1 = 16 + 1=17
  L = P
  
  c)
  \frac {x} {5} + \frac {x} {2}=1 / \cdot 10
  
  \frac {x} {5}\cdot 10 + \frac {x} {2}\cdot 10=10
  
  2x + 5x = 10
  
  7x =10 / :7
  
  x = \frac {10} {7} = 1\frac {3} {7}
  
  spr.
  L = \frac {\frac {10} {7}} {5} + \frac {\frac {10} {7}} {2}=
  
  =\frac {10} {7}\cdot \frac {1} {5} + \frac {10} {7}\cdot \frac {1} {2}=\frac {2} {7} + \frac {5} {7}=
  
  =\frac {7} {7}=1
  
  P = 1
  
  L = P.

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