Răspuns:
x = 4; y = 3
Explicație pas cu pas:
[tex]\left \{ {{ \frac{x}{2} + \frac{x + y}{3} = \frac{13}{3} } \atop { \frac{x - y}{2} = \frac{2y - 3}{6} }} \right. \\ \left \{ {{3x + 2(x + y) = 26 } \atop {3(x - y) = 2y - 3}} \right.[/tex]
[tex]\left \{ {{3x + 2x + 2y = 26 } \atop {3x - 3y = 2y - 3}} \right. \\ \left \{ {{5x + 2y = 26 } | \times 5| \atop {3x - 5y = - 3 | \times 2| }} \right . \\ \left \{ {{25x + 10y = 130 } \atop {6x - 10y = - 6}} \right .[/tex]
[tex]31x = 124 \\ = > x = 4 \\ 5y =3 \times 4 + 3 = 15 \\ = > y = 3[/tex]
