Решить систему : {5х=92-8у {5у=92-6х

[latex] \left \{ {{5x=92-8y} \atop {5y=92-6x}} \right. \\ \\ \left \{ {{5x+8y=92} \atop {6x+5y=92}} \right. [/latex] Умножим первое уравнение на 6, второе на (-5) и сложим [latex] \left \{ {{30x+48y=552} \atop {-30x-25y=-460}} \right.[/latex] 23у=92 у=4 5х=92-8у 5х=92-32 5х=60 х=12 ответ. 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)