Решить систему : {5х=92-8у {5у=92-6х

[latex] left { {{5x=92-8y} atop {5y=92-6x}} ight. \ \ left { {{5x+8y=92} atop {6x+5y=92}} ight. [/latex]Умножим первое уравнение на 6, второе на (-5) и сложим[latex] left { {{30x+48y=552} atop {-30x-25y=-460}} ight.[/latex]23у=92у=45х=92-8у5х=92-325х=60х=12ответ. х=12  у=4

5x+8y=92(5)        25x+40y=460         25x+40y-40y-48x=460-736 5y+6x=92(-8)       -40y-48x=-736        -23x=-276                                                              x=-276:(-23)                                                              x=12                                                              5*(умножаем)12+8y=92                                                              8y=92-60                                                              8y=32                                                              y=32:8                                                               y=4                                                                (12;4)