Mathématiques

Question

Résoudr. Les équations suivantes 

 

A) 1/21x +2 = 4/21-4

 

b). X/6 +1 =5/6x -1/6

 

c) 2/3x+2=4/9x-1

 

d) 6/5x -21/10=27/10x-3/5

 

e ) 3/2x+2 =2/3x -1

1 Réponse

  • A) 1/21x +2 = 4/21-4 
    1/21x = 4/21 - 4 - 2
    1/21x = 4/21 - 6
    1/21x = -122/21
    x = (-122/21) / (1/21) or diviser par un nombre c'est multiplier par son inverse 
    x = (-122/21)*(21/1)
    x = -2562/21
    x = -122

    b). x/6 +1 =5/6x -1/6
    x/6 - 5/6x = -1/6 - 1
    -2/3x = -7/6
    x = (-7/6) / (-2/3)
    x = (-7/6)* (3/-2)
    x = -21/-12
    x = 7/4
     
    c) 2/3x+2=4/9x-1 
    2/3x - 4/9x = -1 -2
    -13/9x = -3
    x = -3 / (-13/9)
    x = -3 * (9/-13)
    x = 27/13

    d) 6/5x -21/10=27/10x-3/5 
    6/5x - 27/10x = -3/5 + 21/10
    -3/2x = 3/2
    x = (3/2) / (-3/2)
    x = (3/2)*(2/-3)
    x = 6/-6 = -1 

    e ) 3/2x+2 =2/3x -1
    3/2x - 2/3x = -1 - 2
    5/6x = -3 
    x = -3 / (5/6)
    x = -3 * (6/5)
    x = -18/5 

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