Question

11x(7-7+(3x-4)=11x решите и (4x+3)-7(3x-2)=4x

Answer 1

11x(7-7+(3x-4)=11x

11(3х-4)=11х

33х-44=11х

33х-11х=44

22х=44

х=44:22

х=2

(4x+3)-7(3x-2)=4x

4х+3-21х+14=4х

4х-21х-4х=-14-3

-21х=-17

х=-17:(-21)

х=17/21

Answer 2

1. разделим обе части уравнения на 11x и получим: (7-7+(3x-4))=1; 7-7+3x-4=1;

3x-4=1; 3x=5; x=5/3; x=1 2/3;

2. 4x+3-21x+14=4x

3+14=4x-4x+21x

17=21x

x=21/17

x= 1 4/17

Answer 3

To solve the equations, let's start by simplifying them step by step. Here are the given equations:

1. 11x(7 - 7 + (3x - 4)) = 11x
2. (4x + 3) - 7(3x - 2) = 4x

Step 1: Simplify the first equation

We'll start by simplifying the expression inside the parentheses:

7 - 7 + (3x - 4) = 0 + (3x - 4) = 3x - 4

Now, the equation becomes:

11x(3x - 4) = 11x

Step 2: Solve the first equation

To solve this equation, we'll consider two cases:

Case 1: 11x = 0 If 11x equals zero, then the equation is satisfied. So, x = 0.

Case 2: (3x - 4) = 1 In this case, we can divide both sides of the equation by 11x:

(11x(3x - 4)) / (11x) = (11x) / (11x)

Simplifying:

3x - 4 = 1

Now, add 4 to both sides of the equation:

3x = 1 + 4 3x = 5

Finally, divide by 3:

x = 5 / 3

So, the solutions to the first equation are x = 0 and x = 5/3.

Step 3: Simplify the second equation

(4x + 3) - 7(3x - 2) = 4x

Now, distribute the -7 through the parentheses:

(4x + 3) - 21x + 14 = 4x

Combine the x terms on the left side:

4x - 21x + 3 + 14 = 4x

-17x + 17 = 4x

Step 4: Solve the second equation

To solve this equation, we'll again consider two cases:

Case 1: -17x = 0 If -17x equals zero, then the equation is satisfied. So, x = 0.

Case 2: -17x + 17 = 0 Add 17x to both sides of the equation:

-17x + 17 + 17x = 0 + 17x

Simplifying:

17 = 17x

Now, divide by 17:

x = 17 / 17

x = 1

So, the solutions to the second equation is x = 1.

In conclusion, the solutions to the two equations are:

1. x = 0 and x = 5/3
2. x = 1