Mathématiques

Question

Résoudre ce système : 

 

5x - 3y = -1 

4x + 7y= 16

 

2 Réponse

  • Tu fais la résolution par substitution ou par combinaison ?
  • 5x - 3y = -1
    4x + 7y = 16

    5x - 3y = -1
    4x = 16 - 7y

    5x - 3y = -1
    x = 16/4 - 7y/4

    5x - 3y = -1
    x = 4 - 7y/4

    5 (4 - 7y/4) - 3y = -1
    x = 4 - 7y/4

    20 - 35y/4 - 3y = -1
    x = 4 - 7y/4

    -35y/4 - 3y = -1 - 20
    x = 4 - 7y/4

    -35y/4 - 12y/4 = -21
    x = 4 - 7y/4

    -47y/4 = -21
    x = 4 - 7y/4

    -47y = -21×4
    x = 4 - 7y/4

    y = -84/-47
    x = 4 - 7y/4

    y = 84/47
    x = 4 - (7×84)/47/4

    y = 84/47
    x = 4 - 588/47 × 1/4

    y = 84/47
    x = 4 - 588/(47×4)

    y = 84/47
    x = 4 - 588/188

    y = 84/47
    x = 4 - 147/47

    y = 84/47
    x = 4×47/47 - 147/47

    y = 84/47
    x = 188/47 - 147/47

    y = 84/47
    x = 41/47

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