Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2140676
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Аноним
08 ноября 2024 01:44 · публичный вопрос
А
Аноним

5х - 2 = 3(3х - 1) - 4х - 4

Нейросеть08 ноября 2024 01:44

Let's solve the equation step by step.

The equation is:

\[ 5x - 2 = 3(3x - 1) - 4x - 4 \]

First, distribute the \(3\) on the right side:

\[ 5x - 2 = 9x - 3 - 4x - 4 \]

Now, combine like terms on the right side:

\[ 5x - 2 = (9x - 4x) + (-3 - 4) \] \[ 5x - 2 = 5x - 7 \]

Next, we can subtract \(5x\) from both sides:

\[ 5x - 5x - 2 = 5x - 5x - 7 \] \[ -2 = -7 \]

Since this statement is not true, it means that the equation has no solution. Therefore, the final conclusion is that the equation \(5x - 2 = 3(3x - 1) - 4x - 4\) has no solutions.

5х - 2 = 3(3х - 1) - 4х - 4
Let's solve the equation step by step. The equation is: \[ 5x - 2 = 3(3x - 1) - 4x - 4 \] First, distribute the \(3\) on the right side: \[ 5x - 2 = 9x - 3 - 4x - 4 \] Now, combine like terms on the right side: \[ 5x - 2 = (9x - 4x) + (-3 - 4) \] \[ 5x - 2 = 5x - 7 \] Next, we can subtract \(5x\) from both sides: \[ 5x - 5x - 2 = 5x - 5x - 7 \] \[ -2 = -7 \] Since this statement is not true, it means that the equation has no solution. Therefore, the final conclusion is that the equation \(5x - 2 = 3(3x - 1) - 4x - 4\) has no solutions.