X-3y=1 3x+y=13 РОзвязать систему

x = 3y + 1 3(3y + 1) + y = 13 x = 3y + 1 9y + 3 + y = 13 * *10y = 10 y = 1 x = 4  y = 1 

[latex] \left \{ {{x-3y=1} \atop {3x+y=13}} \right. [/latex] [latex] \left \{{{x=1+3y}\atop {3(1+3y)+y=13}} \right. [/latex] [latex] \left \{ {{x=1+3y} \atop {3+10y=13}} \right. [/latex] [latex] \left \{ {{x=1+3y} \atop {10y=10}} \right. [/latex] [latex] \left \{ {{x=1+3y} \atop {y=1}} \right. [/latex] [latex]x=1+3y=1+3*1=4[/latex] Ответ: x=4; y=1