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Exercice 1

2x + 14y = 32
- 10x - 18y = - 56

10x + 70y = 160
- 10x - 18y = - 56
52y = 104
y = 104/52
y = 2

2x + 14y = 32
2x + 14 * 2 = 32
2x + 28 = 32
2x = 32 - 28
2x = 4
x = 4/2
x = 2
Les solutions sont (2 ; 2)

Exercice 2

- 2x + 5y = 8
4x - 3y = - 2

- 4x + 10y = 16
4x - 3y = - 2
7y = 14
y = 14/7
y = 2

- 2x + 5y = 8
 - 2x + 5 * 2 = 8
- 2x + 10 = 8
- 2x = 8 - 10
- 2x = - 2
x= 2/2
x = 1
Les solutions sont : (1 ; 2)

Exercice 3 :

2x - 3y = - 26
x + 2y = 8

x = 8 - 2y
2 (8 - 2y) - 3y = - 26
16 - 4y - 3y = - 26
- 7y = - 26 - 16
7y = 42
y = 42/7
y = 6

x = 8 - 2y
x = 8 - 2 * 6
x = 8 - 12
x = - 4
Les solutions sont (- 4 ; 6)