Résoudre ce système : 5x - 3y = -1 4x + 7y= 16
Mathématiques
Lirignia
Question
Résoudre ce système :
5x - 3y = -1
4x + 7y= 16
2 Réponse
-
1. Réponse Rhizlaine
Tu fais la résolution par substitution ou par combinaison ? -
2. Réponse Cissy
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