Sagot :
Bonjour
x - y = 4
2 x + 5 y = - 6
x - y = 4 ⇔ x = 4 + y
2 ( 4 + y ) + 5 y = - 6
8 + 2 y + 5 y = - 6
7 y = - 6 - 8
7 y = - 14
y = - 2
x - ( - 2 ) = 4
x + 2 = 4
x = 2
S ( 2 : - 2 )
3 a + b = 3
5 a + 2 b = - 24
3 a + b = 3 ⇔ b = 3 - 3 a
3 a + 2 ( 3 - 3 a ) = - 24
3 a + 6 - 6 a = - 24
- 3 a = - 24 - 6 = - 30
- 3 a = - 30
a = 10
3*10 + b = 3
b = 3 - 30 = - 27
S ( 3 : - 27 )
Bonsoir,
Résoudre les systèmes :
1)
L1 : { x - y = 4
L2 : { 2x + 5y = -6
L1: x - y = 4
x = 4 + y
L2: 2x + 5y = -6
2(4 + y) + 5y = -6
8 + 2y + 5y = -6
7y + 8 = -6
7y = -14
y = -14/7
y = -2
L1: x - y = 4
x - (-2) = 4
x + 2 = 4
x = 2
y = -2
x = 2
2)
L1: { 3a + b = 3
L2: { 5a + 2b = -4
L1: 3a + b = 3
b = 3 - 3a
L2: 5a + 2b = -4
5a + 2(3 - 3a) = -4
5a + 6 - 6a = -4
-a + 6 = -4
-a = -10
a = 10
L1: 3a + b = 3
3*10+ b = 3
30 + b = 3
b = -27
a = 10
b = -27
Bonne soirée.