Система y-x=-5 x+y=37

[latex] \left \{ {{y-x=-5} \atop {x+y=37}} \right. \left \{ {{y=-5+x} \atop {x+(-5+x)=37}} \right. \left \{ {{y=-5+x} \atop {x-5+x=37}} \right. \left \{ {{y=-5+x} \atop {2x=37+5}} \right. \left \{ {{y=-5+x} \atop {2x=42}} \right. \left \{ {{y=-5+x} \atop {x=42:2=21}} \right.[/latex][latex] \left \{ {{y=-5+21} \atop {x=21}} \right. \left \{ {{y=16} \atop {x=21}} \right. [/latex]                              ответ: (21; 16)

y=-5+x x+(-5+x)=37 2x-5=37 2x=37+5 2x=42 x=21 y=-5+21 y=16 Ответ:x=21,y=16