Question

2-3x=7x 2)2x=0,5 (х-1)+х 3)0,4 (6х-1)=0,1(12х+5) 4)1\9 *это дробь* (4+3х) = 1\3 *тоже дробь* Решите пожалуйста!

Answer 1

2 - 3х = 7х
10х = 2
х = 1/5

2х = 0,5(х-1) + х
2х = 0,5х - 0,5 + х
2х = 1,5х - 0,5
-0,5х = 0,5
х = -1

0,4(6х-1) = 0,1(12х + 5)
2,4х - 0,4 = 1,2х + 0,5
2,4х - 0,4 - 1,2х - 0,5 = 0
1,2х - 0,9 = 0
1,2х = 0,9
х = 0,9/1,2
х = 3/4

1/9(4 + 3х) = 1/3

4 + 3х = 1/9 : 1/3
4 + 3х = 1/3
3х = 1/3 - 12/3
3х = -11/3
х = -11/3 : 3
х = -11/3 × 1/3
х = -11/9
х = -1 2/9.

Answer 2

Equation 1: 2-3x=7x+2

To solve the equation 2-3x=7x+2, we can start by simplifying both sides of the equation:

2 - 3x = 7x + 2

Next, we can combine like terms:

-3x - 7x = 2 - 2

Simplifying further:

-10x = 0

To isolate x, we can divide both sides of the equation by -10:

x = 0/(-10)

Therefore, the solution to the equation 2-3x=7x+2 is x = 0.

Equation 2: 2x=0.5+(x-1)+x+3

To solve the equation 2x=0.5+(x-1)+x+3, we can start by simplifying both sides of the equation:

2x = 0.5 + (x - 1) + x + 3

Next, we can combine like terms:

2x = 0.5 + x - 1 + x + 3

Simplifying further:

2x = 4.5 + 2x

To isolate x, we can subtract 2x from both sides of the equation:

2x - 2x = 4.5 + 2x - 2x

Simplifying further:

0 = 4.5

Since 0 is not equal to 4.5, there is no solution to the equation 2x=0.5+(x-1)+x+3.

Equation 3: 0.4+(6x-1)=0.1(12x+5)+4

To solve the equation 0.4+(6x-1)=0.1(12x+5)+4, we can start by simplifying both sides of the equation:

0.4 + (6x - 1) = 0.1(12x + 5) + 4

Next, we can distribute the 0.1 to the terms inside the parentheses:

0.4 + 6x - 1 = 1.2x + 0.5 + 4

Simplifying further:

6x - 0.6 = 1.2x + 4.5

To isolate x, we can subtract 1.2x from both sides of the equation:

6x - 1.2x - 0.6 = 1.2x - 1.2x + 4.5

Simplifying further:

4.8x - 0.6 = 4.5

Next, we can add 0.6 to both sides of the equation:

4.8x - 0.6 + 0.6 = 4.5 + 0.6

Simplifying further:

4.8x = 5.1

To isolate x, we can divide both sides of the equation by 4.8:

x = 5.1/4.8

Therefore, the solution to the equation 0.4+(6x-1)=0.1(12x+5)+4 is x = 1.0625.

Equation 4: 1/9*(4+3x)=1/3

To solve the equation 1/9*(4+3x)=1/3, we can start by simplifying both sides of the equation:

1/9 * (4 + 3x) = 1/3

Next, we can distribute the 1/9 to the terms inside the parentheses:

(1/9) * 4 + (1/9) * 3x = 1/3

Simplifying further:

4/9 + (3/9)x = 1/3

To isolate x, we can subtract 4/9 from both sides of the equation:

4/9 - 4/9 + (3/9)x = 1/3 - 4/9

Simplifying further:

(3/9)x = 3/9 - 4/9

Next, we can subtract 3/9 from 4/9:

(3/9)x = -1/9

To isolate x, we can multiply both sides of the equation by 9/3:

(9/3) * (3/9)x = (9/3) * (-1/9)

Simplifying further:

x = -3/9

Simplifying the fraction:

x = -1/3

Therefore, the solution to the equation 1/9*(4+3x)=1/3 is x = -1/3.