Question

Решите уравнения 1. 3x+9=11x+8 2. -(7x+8)+(6x-12)=5 3. 2(3x-6)+6x=30 помогите пожалуйста

Answer 1

Ответ:

1)x=1/8 2)x=-25 3)x=7/2

Объяснение:

1) 3x+9=11x+8

3x-11x=8-9

-8x=-1

x=1/8

2)-(7x+8)+(6x-12)=5

-7x-8+6x-12=5

-x-20=5

-x=5+20

-x=25

x=25

3)2(3x-6)+6x=30

6x-12+6x=30

12x-12=30

12x=30+12

12x=42 |:12

x=7/2

Answer 2

Объяснение:

1

3х+9=11х+8

3х-11х=8-9

-8х= - 1

Х=1/8

2

-(7х+8)+(6х-12)=5

-7х-8+6х-12=5

-х=5+8+12

-х=25

Х= - 25

3

2(3х-6)+6х=30

6х-12+6х=30

12х=30+12

12х=42

Х=42:12

Х=3,5

Answer 3

Solution to Equation 1: 3x + 9 = 11x + 8

To solve this equation, we need to isolate the variable x on one side of the equation. Here's how we can do it step by step:

1. Start by simplifying both sides of the equation by combining like terms. On the left side, we have 3x + 9, and on the right side, we have 11x + 8.

Simplifying the left side: 3x + 9 = 11x + 8

2. Next, let's move all the terms with x to one side of the equation and the constant terms to the other side. We can do this by subtracting 3x from both sides of the equation.

Subtracting 3x from both sides: 9 = 11x - 3x + 8

Simplifying the right side: 9 = 8x + 8

3. Now, let's isolate the variable x by subtracting 8 from both sides of the equation.

Subtracting 8 from both sides: 9 - 8 = 8x + 8 - 8

Simplifying the left side: 1 = 8x

4. Finally, to solve for x, divide both sides of the equation by 8.

Dividing both sides by 8: 1/8 = (8x)/8

Simplifying the right side: 1/8 = x

Therefore, the solution to the equation 3x + 9 = 11x + 8 is x = 1/8.

Solution to Equation 2: -(7x + 8) + (6x - 12) = 5

To solve this equation, we'll follow similar steps as before:

1. Start by simplifying both sides of the equation by combining like terms. On the left side, we have -(7x + 8) + (6x - 12), and on the right side, we have 5.

Simplifying the left side: -(7x + 8) + (6x - 12) = 5

2. Next, let's simplify the expression on the left side by distributing the negative sign and combining like terms.

Distributing the negative sign: -7x - 8 + 6x - 12 = 5

Combining like terms: -x - 20 = 5

3. Now, let's isolate the variable x by adding 20 to both sides of the equation.

Adding 20 to both sides: -x - 20 + 20 = 5 + 20

Simplifying the left side: -x = 25

4. Finally, to solve for x, multiply both sides of the equation by -1 to get rid of the negative sign.

Multiplying both sides by -1: (-1)(-x) = (-1)(25)

Simplifying both sides: x = -25

Therefore, the solution to the equation -(7x + 8) + (6x - 12) = 5 is x = -25.

Solution to Equation 3: 2(3x - 6) + 6x = 30

Let's solve this equation step by step:

1. Start by simplifying both sides of the equation by distributing the 2 on the left side. We have 2(3x - 6) + 6x = 30.

Distributing the 2: 6x - 12 + 6x = 30

Combining like terms: 12x - 12 = 30

2. Next, let's isolate the variable x by adding 12 to both sides of the equation.

Adding 12 to both sides: 12x - 12 + 12 = 30 + 12

Simplifying the left side: 12x = 42

3. Finally, to solve for x, divide both sides of the equation by 12.

Dividing both sides by 12: (12x)/12 = 42/12

Simplifying both sides: x = 3.5

Therefore, the solution to the equation 2(3x - 6) + 6x = 30 is x = 3.5.

I hope this helps! Let me know if you have any further questions.