je ne comprend pas comment resoudre l'équation suivante 5x+3y=-14 3x+2y=-9

Salut,


[tex] \left \{ {{5x + 3y = -14} \atop {3x + 2y = -9}} \right. \\ \left \{ {{5x = -14 - 3y} \atop {3x + 2y = -9}} \right.\\ \left \{ {{x = \frac{-14 - 3y}{5} } \atop {3x + 2y = -9}} \right.\\ 3* \frac{-14 - 3y}{5} + 2y = -9\\ 3(-14-3y) + 10y = -45\\ -42 - 9y + 10y = -45\\ y - 42 = -45\\ y = -3\\ 3x + 2y = -9\\ 3x +2*(-3) = -9\\ 3x - 6 = -9\\ 3x = -3\\ x = -1[/tex]

On a donc le couple (x;y) (-1;-3)

Bonne soirée !