Вопрос задан 30.06.2023 в 01:15. Предмет Математика. Спрашивает Высоцкая Арина.

2x-7=65x-9=34x+10=10​

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Отвечает Михайлов Костя.

Ответ:

А это что за тема? скажи тему я решу

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Отвечает Филипчук Филипп.

Пошаговое объяснение:

1)2х-7=6

2х=6+7

2х=13

х=13\2

х=6 1\2=6,5

2)5х-9=3

5х=9+3

5х=12

х=12\5

х=2,4

3)4х+10=10

4х=10-10

4х=0

х=0

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Отвечает нейросеть ChatGpt. Будьте внимательны, ответы нейросети могут содержать ошибочные или выдуманные данные.

It looks like you've provided three equations with three variables. To solve this system of linear equations, we can use the method of substitution or elimination. Let's use the elimination method to solve it:

  1. Start with the first equation: 2x - 7 = 65

  2. Move 65x to the left side by subtracting it from both sides: 2x - 65x - 7 = 0 - 65

    Simplify the equation: -63x - 7 = -65

  3. Add 7 to both sides to isolate the term with x: -63x - 7 + 7 = -65 + 7

    Simplify the equation: -63x = -58

  4. Divide both sides by -63 to solve for x: (-63x) / (-63) = (-58) / (-63)

    Simplify the equation: x = 58 / 63

Now, we have found the value of x. Let's use this value to solve the second equation:

  1. Start with the second equation: 65x - 9 = 34x + 10

  2. Substitute the value of x we found into this equation (x = 58/63): 65(58/63) - 9 = 34(58/63) + 10

  3. Simplify the equation:

    (3770/63) - 9 = (2468/63) + 10

  4. To make the calculations easier, you can find a common denominator (which is 63) for both fractions:

    (3770/63) - (9 * 63/63) = (2468/63) + (10 * 63/63)

    (3770/63) - (567/63) = (2468/63) + (630/63)

  5. Continue simplifying:

    (3770 - 567)/63 = (2468 + 630)/63

    3203/63 = 3098/63

Now, we have simplified the equation to:

(3203/63) = (3098/63)

Since the two fractions are equal, this equation is true, which means the value of x we found (x = 58/63) is a valid solution for the system of equations.

Lastly, let's verify this value of x in the third equation:

  1. Start with the third equation: 34x + 10 = 10

  2. Substitute the value of x we found (x = 58/63): 34(58/63) + 10 = 10

  3. Simplify the equation:

    (1972/63) + 10 = 10

  4. Again, you can find a common denominator:

    (1972/63) + (630/63) = 10

  5. Continue simplifying:

    (1972 + 630)/63 = 10

    2602/63 = 10

Now, if you multiply both sides by 63, you'll see that this equation is not true:

2602 ≠ 630

Therefore, the value of x we found (x = 58/63) is not a valid solution for the third equation. It seems there might be an issue with the given equations. Please double-check the third equation or provide additional information if necessary.

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