Question

Помогите пожалуйста решить уравнения : 1) 4x+6=2(2x+3) 2)3x+4=7x-8 3) 2x-3=10 4) 2(x+1)=3(x+1) 5) 3x-5=3+3x 6) 3x+6=3(x+2) 7) 5x+1=3x+1 8) 6x-1=11 9)x-1=7(x-1) 10)x-2=1+4x 11) 5x+5=5(x-1)

Answer 1

Уместилось только 9, остальное напишу текстом ниже:
10) x-4x= 1+2
-3x=3
x= -1
11) 5x-5= 5x-5
0≠-10

Answer 2

Sure, I can help you solve these equations. Let's go through each one step by step:

1) 4x + 6 = 2(2x + 3) To solve this equation, we will start by distributing the 2 on the right side of the equation: 4x + 6 = 4x + 6 Since the variables and constants cancel out on both sides, this equation has infinitely many solutions. Any value of x would satisfy this equation.

2) 3x + 4 = 7x - 8 To solve this equation, we need to isolate the variable x. Let's start by moving the terms with x to one side of the equation and the constant terms to the other side: 3x - 7x = -8 - 4 -4x = -12 Next, we divide both sides of the equation by -4 to solve for x: x = -12 / -4 x = 3

3) 2x - 3 = 10 To solve this equation, we need to isolate the variable x. Let's start by moving the constant term to the other side of the equation: 2x = 10 + 3 2x = 13 Next, we divide both sides of the equation by 2 to solve for x: x = 13 / 2 x = 6.5

4) 2(x + 1) = 3(x + 1) + 5 To solve this equation, we will start by distributing the 2 and 3 on their respective terms: 2x + 2 = 3x + 3 + 5 Next, we combine like terms on the right side of the equation: 2x + 2 = 3x + 8 To isolate x, we subtract 2x from both sides of the equation: 2 = x + 8 Subtracting 8 from both sides gives us: -6 = x

5) 3x - 5 = 3 + 3x To solve this equation, we will start by subtracting 3x from both sides of the equation: -5 = 3 Since -5 is not equal to 3, this equation has no solution. It means there is no value of x that satisfies the equation.

6) 3x + 6 = 3(x + 2) + 7 To solve this equation, we will start by distributing the 3 on the right side of the equation: 3x + 6 = 3x + 6 + 7 Next, we combine like terms on the right side of the equation: 3x + 6 = 3x + 13 Subtracting 3x from both sides gives us: 6 = 13 Since 6 is not equal to 13, this equation has no solution.

7) 5x + 1 = 3x + 1 + 8 To solve this equation, we will start by subtracting 3x from both sides of the equation: 5x - 3x + 1 = 1 + 8 2x + 1 = 9 Subtracting 1 from both sides gives us: 2x = 8 Next, we divide both sides of the equation by 2 to solve for x: x = 8 / 2 x = 4

8) 6x - 1 = 11 To solve this equation, we need to isolate the variable x. Let's start by moving the constant term to the other side of the equation: 6x = 11 + 1 6x = 12 Next, we divide both sides of the equation by 6 to solve for x: x = 12 / 6 x = 2

9) x - 1 = 7(x - 1) To solve this equation, we will start by distributing the 7 on the right side of the equation: x - 1 = 7x - 7 Next, we move the terms with x to one side of the equation and the constant terms to the other side: x - 7x = -7 + 1 -6x = -6 Dividing both sides of the equation by -6 gives us: x = -6 / -6 x = 1

10) x - 2 = 1 + 4x To solve this equation, we will start by moving the terms with x to one side of the equation and the constant terms to the other side: x - 4x = 1 + 2 -3x = 3 Dividing both sides of the equation by -3 gives us: x = 3 / -3 x = -1

11) 5x + 5 = 5(x - 1) To solve this equation, we will start by distributing the 5 on the right side of the equation: 5x + 5 = 5x - 5 Next, we move the terms with x to one side of the equation and the constant terms to the other side: 5x - 5x = -5 - 5 0 = -10 Since 0 is not equal to -10, this equation has no solution.

I hope this helps! If you have any further questions, feel free to ask.