bonjour, pouvez-vous m'aider svp à résoudre ce carré magique. Il me manque juste 4 chiffres, je n'y arrive pas.. merci d'avance !

Bonjour,

a | b | 0 | 8 | c
d | e | f | -11 | 2
-9 | -1 | 12 | g | 3
-3 | h | -12 | i | 9
-2 | 11 | -6 | 7 | j

0 + f + 12 - 12 - 6 = 0
f = 6

-2 + 11 - 6 + 7 + j = 0
j = -10

c + 2 + 3 + 9 + j = 0
c = -14 - j
c = -14 + 10
c = -4

c - 11 + 12 + h - 2 = 0
h = 1 - c
h = 1 + 4
h = 5

-3 + h - 12 + i + 9 = 0
i = -6 - h
i = -6 - 5
i = -11

-9 - 1 + 12 + g + 3 = 0
g = 5

a + d - 9 - 3 - 2 = 0
=> a + d = 14

a + b + 0 + 8 + c = 0 => a + b + 0 + 8 - 4 = 0
=> a + b = -4

d + e + f - 11 + 2 = 0 => d + e + 6 - 11 + 2 = 0
=> d + e = 3

a + e + 12 + i + j = 0 => a + e + 12 - 11 - 10 = 0
=> a + e = 9

Donc on a 4 équations à 4 inconnues :

a + d = 14 => d = 14 - a
a + b = -4
d + e = 3 => 14 - a + e = 3 => -a + e = -11
a + e = 9

-a + e = -11
a + e = 9

On les additionne les 2 :
-a + e + a + e = -11 + 9
2e = -2
e = -2/2
e = -1

On remplace e :
a + e = 9
a = 9 - e
a = 9 + 1
a = 10

On remplace a :
a + d = 14
d = 14 - a
d = 14 - 10
d = 4

a + b = -4
b = -4 - a
b = -4 - 10
b = -14

10 | -14 | 0 | 8 | -4
4 | -1 | 6 | -11 | 2
-9 | -1 | 12 | 5 | 3
-3 | 5 | -12 | -11 | 9
-2 | 11 | -6 | 7 | -10