Răspuns:
x = 3; y = 1
Explicație pas cu pas:
[tex]\left \{ {{5(x - 4) + 2y = 3(y - 2)} \atop {4(x - 2y) = 2(y + 1)}} \right. \\ [/tex]
[tex]\left \{ {{5x - 20 + 2y = 3y - 6} \atop {4x - 8y = 2y + 2}} \right. \\ [/tex]
[tex]\left \{ {{5x + 2y - 3y = - 6 + 20} \atop {4x - 8y - 2y = 2}} \right. \\ [/tex]
[tex]\left \{ {{5x - y = 14} \atop {4x - 10y = 2}} \right. \\ [/tex]
[tex]\left \{ {{5x - y = 14} \: \: | \times ( - 2)| \atop {2x - 5y = 1} \: \: | \times 5| } \right. \\ [/tex]
[tex]\left \{ {{ - 10x + 2y = - 28} \: \: | \times ( - 2)| \atop {10x - 25y = 5} \: \: | \times 5| } \right. \\ [/tex]
[tex]2y - 25y = - 28 + 5 \\ - 23y = - 23 \\ y = (- 23) \div ( - 23)= > y = 1[/tex]
[tex]5x = 14 + y = 14 + 1 = 15 \\ x = 15 \div 5 = > x = 3[/tex]
