☺ Salut ☺
Calculez x et y :
[tex]2x + 3y = 8\:(1)[/tex]
[tex]4x + 3y = 5\:(2)[/tex]
• Calculons x et y :
[tex]\left \{ {{2x\:+\:3y\: =\: 8} \atop {4x\:+\:3y\: = \:5}} \right.[/tex]
[tex]\left \{ {{2x\:+\:3y\: =\: 8} \atop {-4x\:-\:3y\: = \:-5}} \right.[/tex]
•[tex]\:2x - 4x = 8 - 5[/tex]
[tex]- 2x = 3[/tex]
[tex]x = -\frac{3}{2}[/tex]
•[tex]\:2( -\frac{3}{2})+ 3y = 8[/tex]
[tex] -\frac{6}{2}+ 3y = 8[/tex]
[tex] -3\:+\; 3y = 8[/tex]
[tex]3y = 8 + 3[/tex]
[tex]3y = 11[/tex]
[tex]y =\frac{11}{3} [/tex]
• [tex]\: \boxed{\boxed{S=\{ -\frac{3}{2}\:;\:\frac{11}{3} \}}}[/tex]
