Question

0,1х +9 = 0,2х – 4 12 – 4(х -3) = 39 – 9х 2(3х +5) – 3( 4х -1) = 11,8

Answer 1

1) x=130
2) х=3
3)х=0.2

Answer 2

Let's solve each equation step by step:

1. 0.1x + 9 = 0.2x - 4

To solve this equation, let's get all the terms involving 'x' on one side and constants on the other side.

Subtract 0.1x from both sides: 0.1x - 0.1x + 9 = 0.2x - 0.1x - 4

Simplify: 9 = 0.1x - 4

Now, add 4 to both sides: 9 + 4 = 0.1x - 4 + 4

Simplify: 13 = 0.1x

Finally, to find the value of 'x', divide by 0.1: x = 13 / 0.1 x = 130

So, the solution to the first equation is x = 130.

2. 12 - 4(x - 3) = 39 - 9x

Let's first distribute the -4 on the left side:

12 - 4x + 12 = 39 - 9x

Now, let's combine like terms:

24 - 4x = 39 - 9x

To solve for 'x', let's get all the terms involving 'x' on one side and constants on the other side.

Add 4x to both sides: 24 - 4x + 4x = 39 - 9x + 4x

Simplify: 24 = 39 - 5x

Now, subtract 39 from both sides: 24 - 39 = 39 - 39 - 5x

Simplify: -15 = -5x

Finally, to find the value of 'x', divide by -5: x = -15 / -5 x = 3

So, the solution to the second equation is x = 3.

3. 2(3x + 5) - 3(4x - 1) = 11.8

Let's first distribute the coefficients:

6x + 10 - 12x + 3 = 11.8

Combine like terms:

6x - 12x + 10 + 3 = 11.8

Now, combine the constants:

-6x + 13 = 11.8

To solve for 'x', let's get all the terms involving 'x' on one side and constants on the other side.

Subtract 13 from both sides: -6x + 13 - 13 = 11.8 - 13

Simplify: -6x = -1.2

Finally, to find the value of 'x', divide by -6: x = -1.2 / -6 x = 0.2

So, the solution to the third equation is x = 0.2.

Therefore, the solutions to the given equations are:

1. x = 130
2. x = 3
3. x = 0.2