Question

2(x+1)=03(x-1)=2(x+1)3(x+1)=3(x-1)+13(x-1)=7​

Answer 1

1) 2(x + 1) = 0        Разделим на 2

x + 1 = 0

x = -1

2) 3(x - 1) = 2(x + 1)

3x - 3 = 2x + 2

3x - 2x = 3 + 2

x = 5

3) 3(x + 1) = 3(x - 1) + 1

3x + 3 = 3x - 3 + 1

3x - 3x = - 3 - 3 + 1

0 = - 5

Неравенство неверно, а значит, таких x нет (уравнение не имеет корней)

4) 3(x - 1) = 7

3x - 3 = 7

3x = 10

x = 10/3

x = 3 1/3

Answer 2

It seems like you have two sets of equations here. Let's solve them one by one.

Equation 1: 2(x + 1) = 0 To solve this equation, we need to find the value of 'x' that satisfies it.

Step 1: Distribute the 2 on the left side of the equation: 2x + 2 = 0

Step 2: Move the constant term (2) to the right side by subtracting it from both sides of the equation: 2x = -2

Step 3: Solve for 'x' by dividing both sides of the equation by 2: x = -2/2 x = -1

So, the solution for Equation 1 is x = -1.

Equation 2: 3(x + 1) = 2(x + 1) + 3(x - 1) + 1 Again, we need to find the value of 'x' that satisfies this equation.

Step 1: Distribute the constants on the left side of the equation: 3x + 3 = 2x + 2 + 3x - 3 + 1

Step 2: Combine like terms on the right side: 3x + 3 = 5x

Step 3: Move the variable term (3x) to the left side by subtracting it from both sides of the equation: 3x - 3x + 3 = 5x - 3x

Step 4: Simplify the equation: 3 = 2x

Step 5: Solve for 'x' by dividing both sides of the equation by 2: x = 3/2 x = 1.5

So, the solution for Equation 2 is x = 1.5.

To summarize: Equation 1: x = -1 Equation 2: x = 1.5