Question

1) 3(x-2)=x+2 2)5-2(x-1)=4-x 3)(7x+1)-(9x+3)=5 4)3,4+2y=7(y-2,3) 5)0,2(7-2y)=2,3-0,3(y-6)

Answer 1

ответы: 1)4; 2)3; 3)-3,5; 4)3,9; 5)-27

Answer 2

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

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

First, distribute the 3 on the left side of the equation: 3x - 6 = x + 2

Next, let's isolate the x term on one side by subtracting x from both sides: 3x - x - 6 = 2

Simplifying the equation: 2x - 6 = 2

Now, add 6 to both sides of the equation: 2x - 6 + 6 = 2 + 6

Simplifying further: 2x = 8

Finally, divide both sides of the equation by 2 to solve for x: 2x/2 = 8/2 x = 4

Therefore, the solution to the equation is x = 4.

2. 5 - 2(x-1) = 4 - x

First, distribute the -2 on the left side of the equation: 5 - 2x + 2 = 4 - x

Combine like terms: 7 - 2x = 4 - x

Next, let's isolate the x term on one side by subtracting 4 from both sides: 7 - 2x - 4 = 4 - x - 4

Simplifying the equation: 3 - 2x = -x

Now, add 2x to both sides of the equation: 3 - 2x + 2x = -x + 2x

Simplifying further: 3 = x

Therefore, the solution to the equation is x = 3.

3. (7x+1) - (9x+3) = 5

First, let's simplify the equation by removing the parentheses: 7x + 1 - 9x - 3 = 5

Combine like terms: (7x - 9x) + (1 - 3) = 5

Simplifying further: -2x - 2 = 5

Next, add 2 to both sides of the equation: -2x - 2 + 2 = 5 + 2

Simplifying: -2x = 7

Finally, divide both sides of the equation by -2 to solve for x: (-2x)/-2 = 7/-2 x = -7/2

Therefore, the solution to the equation is x = -7/2.

4. 3.4 + 2y = 7(y - 2.3)

First, distribute the 7 on the right side of the equation: 3.4 + 2y = 7y - 16.1

Next, let's isolate the y term on one side by subtracting 7y from both sides: 3.4 + 2y - 7y = 7y - 7y - 16.1

Simplifying the equation: -5y + 3.4 = -16.1

Now, subtract 3.4 from both sides of the equation: -5y + 3.4 - 3.4 = -16.1 - 3.4

Simplifying further: -5y = -19.5

Finally, divide both sides of the equation by -5 to solve for y: (-5y)/-5 = -19.5/-5 y = 3.9

Therefore, the solution to the equation is y = 3.9.

5. 0.2(7 - 2y) = 2.3 - 0.3(y - 6)

First, distribute the 0.2 on the left side and the 0.3 on the right side: 1.4 - 0.4y = 2.3 - 0.3y + 1.8

Combine like terms: -0.4y + 0.4y - 0.3y = 2.3 + 1.8 - 1.4

Simplifying further: -0.3y = 2.7

Finally, divide both sides of the equation by -0.3 to solve for y: (-0.3y)/-0.3 = 2.7/-0.3 y = -9

Therefore, the solution to the equation is y = -9.

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