Question

В)2/3(x+9)-2=1/6xг)-2-(4+9x)=-6д) 1,2(5-4x)=-6(0,8x+1)​

Answer 1

Ответ:

в) x = -8; г) x -. решений нет; д)x - решений нет.

Answer 2

Let's solve each equation step by step:

a) 2/3(x + 9) - 2 = 1/6x

To eliminate the fractions, we can multiply both sides of the equation by 6:

6 * [2/3(x + 9) - 2] = 6 * (1/6x)

4(x + 9) - 12 = x

4x + 36 - 12 = x

3x + 36 = x

Now, we want to isolate the variable 'x' on one side, so let's subtract 'x' from both sides:

3x - x + 36 = 0

2x + 36 = 0

Subtracting 36 from both sides:

2x = -36

Dividing by 2:

x = -18

Therefore, the solution to the equation is x = -18.

b) -2 - (4 + 9x) = -6

Let's simplify the left side of the equation first:

-2 - (4 + 9x) = -2 - 4 - 9x = -6 - 9x

Now we have:

-6 - 9x = -6

To isolate 'x', we'll add 6 to both sides:

-9x = 0

Dividing by -9:

x = 0

So, the solution to the equation is x = 0.

c) 1.2(5 - 4x) = -6(0.8x + 1)

Let's distribute the values on both sides of the equation:

6 - 4.8x = -4.8x - 6

Now, let's rearrange the equation by moving all the terms involving 'x' to one side:

-4.8x + 4.8x = -6 - 6

This simplifies to:

0 = -12

Since 0 is not equal to -12, there is no solution to this equation.

Therefore, the equation has no solution.

I hope this helps! Let me know if you have any further questions.