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Sagot :

Bonjour,

x+3y=15

x = 15 -3y

2x+y=2​

2(15-3y) +y = 2

30 -6y +y = 2

30-2 = 6y-y

28 = 5y

y = 28/5

x+3y=15

x + 3( 28/5) = 15

x + 84/5 = 15

x= 15 - 84/5

x = 75/5 - 84/5

x= -9/5

Vérif:

x+3y=15

-9/5 +84/5= 75/5 = 15

bonjour

x + 3y = 15   (1)   et   2x + y = 2   (2)

(2) <=> y = 2 - 2x

 substitution

on remplace y par 2 - 2x dans (1)

x + 3(2 - 2x) = 15

x + 6 - 6x = 15

x - 6x = 15 - 6

-5x = 9

x = -9/5

on calcule y dans  y = 2 - 2x

y = 2 + 18/5

y = 10/5 + 18/5

y = 28/5

solution : le couple (-9/5 ; 28/5)

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