Question

Имеет ли решение система уравнений {4х+5у=9 {12х+15у=18 {3х+у=5 {12х+4у=20 Посмотреть ответы necodancer necodancer 1) {3х+у=5   {12х+4у=20 12х+4у=20 | :4 3x+y=5 - мы получили верхнее уравнение, значит у нас в системе два одинаковых уравнения с двумя неизвестными решением которых будут точки прямой вида y=5-3x. 2) {4х+5у=9    {12х+15у=18 12х+15у=18 | ;3 4x+5y = 6 Упс! кажется решений нет, но не тут то было заменим 4x+5y = a получаем систему: {а=9 {а=6 или {a=7.5+1.5 {a=7.5-1.5 введем дополнительный параметр b, такой что b*|b|/2=1.5 b=±√3 то есть получаем, что a=7.5 + (b*|b|) :2, где b=±√3 или 4x+5y=7.5 + (b*|b|) :2 то есть решением будет y=(1.5 + (b*|b|) :10 - 0.8x) , где b=±√3 Участник Знаний Участник Знаний Первая нет. т.к. умножив первое уравнение на три, получим 12х+15у=27, что не равно18 Ответ не имеет решений. У второй бесчисленное множество решений. т.к. умножив на 4 первое уравнение, получим второе, что говорит о том, что прямые - графики уравнений системы совпадают. Ответ имеет. Новые вопросы в Алгебра помогите пожалуйста!!!!!!!!!!!!!!!!!!!!! ПОМОГИТЕЕЕЕЕ СРОЧНОООО ДАЮ МНОООГООООО БАЛОООООВ мне нужно 50 примеров многочленов и одначленов вобщем 50 примеров с умножением,дилением, плюсом и минусом и со степенью с правилным решением помогите … пожалуйста​ 2+2=5 или 2+2=4 ??????? Объясните пожалуйста как решить ситему неравенств {4х- 2 ≤ 2,5х +1 { 2- х > х - 2/2(там дробью записано) у меня как раз эта дробь и вызовала вопрос … ы что с ней делать? 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Answer 1

Давайте разберемся с вашей системой уравнений:

1. $3x + y = 5$
2. $12x + 4y = 20$

Первое уравнение можно преобразовать, чтобы выразить $y$ через $x$:

$y = 5 - 3x$

Теперь подставим это выражение для $y$ во второе уравнение:

$12x + 4(5 - 3x) = 20$

Раскроем скобки:

$12x + 20 - 12x = 20$

Упростим уравнение:

$20 = 20$

Это уравнение истинно для любых значений $x$. Это значит, что у системы уравнений есть бесконечно много решений и они образуют прямую в плоскости $xy$.

Ответ: У системы уравнений бесконечно много решений в виде прямой $y = 5 - 3x$.