Question

9x-4(x+5)-1=7(x-3)-2x​

Answer 1

9х - 4(х + 5) - 1 = 7(х - 3) - 2х

9х - 4х - 20 - 1 = 7х - 21 - 2х

5х - 21 = 5х - 21

х ∈ ℝ

(Утверждение верно для любого значения х, потому что обе части одинаковы.)

Ответ: х ∈ ℝ

Answer 2

To solve the given equation, let's follow these steps:

1. Distribute the terms on both sides of the equation.
2. Combine like terms.
3. Isolate the variable on one side.
4. Solve for the variable.

Given equation:

$9x - 4(x + 5) - 1 = 7(x - 3) - 2x$

Let's go step by step:

1. Distribute the terms:

$9x - 4x - 20 - 1 = 7x - 21 - 2x$

2. Combine like terms:

$5x - 21 = 5x - 21$

3. Notice that the variables and constant terms are the same on both sides. This implies that the equation is an identity, meaning it's true for all values of $x$.

4. There are infinitely many solutions for this equation because no matter what value you choose for $x$, both sides will always be equal.

So, the original equation $9x - 4(x + 5) - 1 = 7(x - 3) - 2x$ is an identity.