Question

1) 6 (x - 1,82) = 25,2; 2) 45 (2,8 + x) = 12; 3) 6x + 9x - 5,8 = 3,8; 4) 7x - 2x - 3x + 2,73 = 4,49.​

Answer 1

• Якось так
• Відповідь:х=0,95

Answer 2

Let's solve each of the given equations step by step:

1. 6(x - 1.82) = 25.2

Expand the parentheses: 6x - 6(1.82) = 25.2 6x - 10.92 = 25.2

Add 10.92 to both sides: 6x = 25.2 + 10.92 6x = 36.12

Divide both sides by 6: x = 36.12 / 6 x ≈ 6.02

Therefore, the solution to the equation is x ≈ 6.02.

2. 45(2.8 + x) = 12

Distribute 45 to the terms inside the parentheses: 45 * 2.8 + 45x = 12 126 + 45x = 12

Subtract 126 from both sides: 45x = 12 - 126 45x = -114

Divide both sides by 45: x = -114 / 45 x = -2.53

Thus, the solution to the equation is x = -2.53.

3. 6x + 9x - 5.8 = 3.8

Combine like terms: 15x - 5.8 = 3.8

Add 5.8 to both sides: 15x = 3.8 + 5.8 15x = 9.6

Divide both sides by 15: x = 9.6 / 15 x ≈ 0.64

Hence, the solution to the equation is x ≈ 0.64.

4. 7x - 2x - 3x + 2.73 = 4.49

Combine like terms: (7x - 2x - 3x) + 2.73 = 4.49 2x + 2.73 = 4.49

Subtract 2.73 from both sides: 2x = 4.49 - 2.73 2x = 1.76

Divide both sides by 2: x = 1.76 / 2 x = 0.88

Therefore, the solution to the equation is x = 0.88.

To summarize, the solutions to the given equations are:

1. x ≈ 6.02
2. x = -2.53
3. x ≈ 0.64
4. x = 0.88