Как решить? {X+Y=10 {x2-y2=40

[latex] left { {{x+y=10} atop {x^2-y^2=40}} ight. \left { {{x+y=10} atop {(x-y)(x+y)=40}} ight. \ left { {{x+y=10} atop {(x-y)*10=40}} ight. \ left { {{x+y=10} atop {x-y=4}} ight. \ left { {{x=10-y} atop {10-y-y=4}} ight. \ left { {{x=10-y} atop {10-2y=4}} ight. \ left { {{x=10-y} atop {2y=6}} ight. \ left { {{x=10-y} atop {y=3}} ight. \ left { {{x=7} atop {y=3}} ight. [/latex]проверяем:[latex] left { {{7+3=10} atop {7^2-3^2=49-9=40}} ight. [/latex]ответ: (7;3)