Question

По братски Решите систему уравнений {1y-1x=112, 2x-y=18 . даю все балы Смотреть ответ lveno4k25 lveno4k25 Ответ:Объяснение:Система уравнений: 1y-1x=1122x-y=18 Из первого выражаем у и подставляем во второе уравнение:у=112+хподставляем2х-(112+х)=182х-112-х=18х-112=18х=18+112х=130тогда у=112+х=112+130=242ПРОВЕРКА:(130,242)1)1*242-1*130=112242-130=112112=1122) 2x-y=18 2*130-242=18260-242=1818=18Ответ: (130,242) а кто это пишет? не знаю Отмечен красный флажок, вот и спрашиваю. Интересно же.... здесь что то не так в смысле?

Answer 1

Solving the System of Equations

To solve the system of equations: ``` 1y - 1x = 112 2x - y = 18 ```

We can use the method of substitution. Let's solve for `y` in the first equation and substitute it into the second equation:

y = 112 + x
2x - (112 + x) = 18

Simplifying the second equation:

2x - 112 - x = 18
x - 112 = 18
x = 18 + 112
x = 130

Now, substitute the value of `x` back into the first equation to solve for `y`:

y = 112 + 130
y = 242

Therefore, the solution to the system of equations is `(x, y) = (130, 242)`.

Verification

To verify the solution, substitute the values of `x` and `y` into the original equations:

1. For the first equation: `1y - 1x = 112` ``` 1 * 242 - 1 * 130 = 112 242 - 130 = 112 112 = 112 ```

2. For the second equation: `2x - y = 18` ``` 2 * 130 - 242 = 18 260 - 242 = 18 18 = 18 ```

Both equations hold true when `x = 130` and `y = 242`, so the solution is verified.

I hope this helps! Let me know if you have any further questions.