Question

1)а) 3х-1 = 2;     б) 8х-1 = -1;  в) 2х-5 = 02)13 - 2х-9 = 123)‖х-5|-2| = 34)‖2х-1|+ 2| = 8Пожалуйста срочно надо!!! Решить и объяснить... Заранее спасибо

Answer 1

1)3х-1=2
3х=2+1
3х=3
Х=3:3
Х=1
2)8х-1=-1
8х=-1+1
8х=0
Х=0:8
Х=0
3)2х-5=0
2х=0+5
2х=5
Х=5:2
Х=2.5
2)13 - 2х-9 = 12
-2х=12+9-13
-2х=8
Х=8:(-2)
Х=-4

Answer 2

1a) To solve for x in the equation 3x - 1 = 2, add 1 to both sides of the equation: 3x - 1 + 1 = 2 + 1 3x = 3 Then divide both sides by 3: 3x/3 = 3/3 x = 1

1б) To solve for x in the equation 8x - 1 = -1, add 1 to both sides of the equation: 8x - 1 + 1 = -1 + 1 8x = 0 Then divide both sides by 8: 8x/8 = 0/8 x = 0

1в) To solve for x in the equation 2x - 5 = 0, add 5 to both sides of the equation: 2x - 5 + 5 = 0 + 5 2x = 5 Then divide both sides by 2: 2x/2 = 5/2 x = 2.5

2. To solve for x in the equation 13 - 2x - 9 = 12, simplify the left side of the equation first: 13 - 2x - 9 = 12 4 - 2x = 12 Then subtract 4 from both sides of the equation: 4 - 2x - 4 = 12 - 4 -2x = 8 Finally, divide both sides by -2: -2x/-2 = 8/-2 x = -4

3. To solve for x in the equation ||x - 5|| - 2 = 3, add 2 to both sides of the equation: ||x - 5|| = 5 Then split the equation into two cases: Case 1: x - 5 ≥ 0 In this case, the equation becomes: x - 5 - 2 = 5 x - 7 = 5 Then add 7 to both sides of the equation: x - 7 + 7 = 5 + 7 x = 12

Case 2: x - 5 < 0 In this case, the equation becomes: -(x - 5) - 2 = 5

• x + 3 = 5 Then subtract 3 from both sides of the equation:
• x + 3 - 3 = 5 - 3
• x = 2 Finally, multiply both sides by -1 to get x:
• x/-1 = 2/-1 x = -2

So the solutions for the equation are x = 12 or x = -2.

4. To solve for x in the equation ||2x - 1| + 2| = 8, subtract 2 from both sides of the equation: ||2x - 1|| = 6 Then split the equation into two cases: Case 1: 2x - 1 ≥ 0 In this case, the equation becomes: (2x - 1) + 2 = 6 2x + 1 = 6 Then subtract 1 from both sides of the equation: 2x + 1 - 1 = 6 - 1 2x = 5 Finally, divide both sides by 2: 2x/2 = 5/2 x = 2.5

Case 2: 2x - 1 < 0 In this case, the equation becomes: -(2x - 1) + 2 = 6 -2x +