Réponse :
Bonsoir,
Explications étape par étape
[tex]\left\{\begin{array}{ccc}x-y&=&10\\xy&=&-16\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&x-10\\x(x-10)&=&-16\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&x-10\\x^2-10x+16&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&x-10\\x^2-2x-8x+16&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&x-10\\x(x-2)-8(x-2)&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&x-10\\(x-2)(x-8)&=&0\\\end{array}\right.\\\\\\[/tex]
[tex]\left\{\begin{array}{ccc}x&=&2\\y&=&-8\\\end{array}\right. \ ou \\left\{\begin{array}{ccc}x&=&8\\y&=&-2\\\end{array}\right.[/tex]
Faute de frappe impossible à modifier !!
Il faut supprimer le "left"
