Question

-3х+12=4-2х6х=1-(4-6х)3х=65-10х8х+40=8*(х+2)+24

Answer 1

Ответ:

Пошаговое объяснение:

-3х+12=4-2х

-2x + 3x = 12 - 4

x = 8

6х=1-(4-6х)

6x = 1 - 4 + 6x

6x - 6x = 1-4

0 ≠ -3 ( нет решений)

3х=65-10х

3x + 10x = 65

13x = 65

x = 65 : 13

x = 5

8х+40=8*(х+2)+24

8x + 40 = 8x + 16 + 24

8x - 8x = 16+24-40

0 = 0 ( x любое число)

Answer 2

Let's solve the equations one by one:

1. -3x + 12 = 4 - 2x

To solve this equation, we need to isolate the variable x on one side. Let's start by combining like terms:

-3x + 12 = 4 - 2x

Add 2x to both sides:

-3x + 2x + 12 = 4

Simplify:

-x + 12 = 4

Subtract 12 from both sides:

-x + 12 - 12 = 4 - 12

Simplify:

-x = -8

Multiply both sides by -1 to get x alone:

x = 8

So the solution for the first equation is x = 8.

2. 6x = 1 - (4 - 6x)

Let's simplify the equation step by step:

6x = 1 - (4 - 6x)

Remove the parentheses:

6x = 1 - 4 + 6x

Combine like terms:

6x = -3 + 6x

Subtract 6x from both sides:

6x - 6x = -3

Simplify:

0 = -3

The equation 0 = -3 is not true, so there is no solution for this equation.

3. 3x = 65 - 10x

Let's solve this equation:

3x = 65 - 10x

Add 10x to both sides:

3x + 10x = 65

Combine like terms:

13x = 65

Divide both sides by 13:

x = 65/13

Simplify:

x = 5

So the solution for the third equation is x = 5.

4. 8x + 40 = 8 * (x + 2) + 24

Let's simplify this equation:

8x + 40 = 8(x + 2) + 24

Distribute 8 to the terms inside the parentheses:

8x + 40 = 8x + 16 + 24

Combine like terms:

8x + 40 = 8x + 40

Subtract 8x from both sides:

8x - 8x + 40 = 8x - 8x + 40

Simplify:

40 = 40

The equation 40 = 40 is true. This means that the equation is an identity and is true for all values of x.

Therefore, the fourth equation has infinitely many solutions.