Question

А) 3 1/3 -0,2x = 2/3x + 5,4 б) |- 2x -10| -12=28 Срочно!!!!

Answer 1

3 1\3-2\10х=2\3х+54\10
-2\10х-2\3х=54\10-10\3
-26\30х=(162-100)\30
-13\15х=31\15
х= 31\15:(-15\13)
х=- 2 5\13

\-2х-10\-12=28
\-2х-10\=28+12
\-2х-10\=40
2х+10=-40      2х+10=40
2х=-50            2х=30
х=-25                х=15
по-моему так

Answer 2

-1/5х-2/3х=5-3+1/3-2/5

-13/15х=1 14/15
х= -29/15  / 13/15
х= -29/13

х=-1  6/13 

Answer 3

Problem A: 3 + 1/3 - 0.2x = 2/3x + 5.4

To solve this equation, we need to isolate the variable x on one side of the equation. Let's go step by step:

1. Start by combining like terms on both sides of the equation: - On the left side, we have 3 + 1/3. - On the right side, we have 2/3x + 5.4.

So, the equation becomes: 3 + 1/3 - 0.2x = 2/3x + 5.4.

2. Next, let's get rid of the fractions by multiplying every term by the least common denominator (LCD), which is 3: - Multiply 3 by 3: 3 * 3 = 9. - Multiply 1/3 by 3: 1/3 * 3 = 1. - Multiply 0.2x by 3: 0.2x * 3 = 0.6x. - Multiply 2/3x by 3: 2/3x * 3 = 2x. - Multiply 5.4 by 3: 5.4 * 3 = 16.2.

The equation becomes: 9 + 1 - 0.6x = 2x + 16.2.

3. Now, let's simplify the equation further: - Combine like terms on both sides of the equation: - On the left side, we have 9 + 1 = 10. - On the right side, we have 2x + 16.2.

The equation becomes: 10 - 0.6x = 2x + 16.2.

4. To isolate the variable x, we need to move all the terms containing x to one side of the equation and the constant terms to the other side. Let's do that: - Subtract 2x from both sides of the equation: 10 - 0.6x - 2x = 2x - 2x + 16.2. - Simplifying the left side: -0.6x - 2x = -2.6x. - Simplifying the right side: 2x - 2x + 16.2 = 16.2.

The equation becomes: -2.6x = 16.2.

5. Finally, solve for x by dividing both sides of the equation by -2.6: - Divide 16.2 by -2.6: 16.2 / -2.6 = -6.23 (rounded to two decimal places).

The solution to the equation is: x = -6.23.

Answer: The solution to the equation 3 + 1/3 - 0.2x = 2/3x + 5.4 is x = -6.23.

Problem B: |2x - 10| + 12 = 28

To solve this equation, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. Let's go step by step:

1. Case 1: 2x - 10 is positive: - In this case, we can rewrite the equation as: 2x - 10 + 12 = 28. - Simplifying the left side: 2x + 2 = 28. - Subtracting 2 from both sides: 2x = 26. - Dividing both sides by 2: x = 13.

2. Case 2: 2x - 10 is negative: - In this case, we can rewrite the equation as: -(2x - 10) + 12 = 28. - Simplifying the left side: -2x + 10 + 12 = 28. - Combining like terms: -2x + 22 = 28. - Subtracting 22 from both sides: -2x = 6. - Dividing both sides by -2: x = -3.

Answer: The equation |2x - 10| + 12 = 28 has two solutions: x = 13 and x = -3.

Please note that the solutions provided are based on the information given. If there are any additional constraints or details, please let me know.