Question

1) 4х + 3 = 7 – 2х;2) 11 + 2х = 55 + 3х; 3) - 15 – 3х = - 7х + 45; 4) - 3х – 17 = 8х – 105 5) 2(у + 3) = 21 – 3у; 6) (2 - с) + 3(с – 3) = - 13; 7) – 3(1 – 3b) – 12 = 2 Решите все 7 с объяснением

Answer 1

Ответ:

1) 4х + 3 = 7 – 2х;

4x +2x=7-3

6x=4

2)11 + 2х = 55 + 3х;

3x - 2x= 55 - 11

-x = 44

x= - 44

3)- 15 – 3х = - 7х + 45

-3x + 7x = 45 + 15

4x = 60

x = 15

4)- 3х – 17 = 8х – 105

-3x - 8x = - 105 +17

-11x = -88

x= 8

только 4 успела сделать

Answer 2

Solving the Equations

1) 4x + 3 = 7 – 2x:

To solve for x, we can combine like terms and isolate x on one side of the equation.

4x + 3 = 7 – 2x 4x + 2x = 7 – 3 6x = 4 x = 4/6 x = 2/3

So, the solution for the first equation is x = 2/3.

2) 11 + 2x = 55 + 3x:

Similarly, we can solve for x by combining like terms and isolating x.

11 + 2x = 55 + 3x 2x - 3x = 55 - 11 -x = 44 x = -44

The solution for the second equation is x = -44.

3) -15 – 3x = -7x + 45:

We'll follow the same process to solve for x.

-15 – 3x = -7x + 45 -3x + 7x = 45 + 15 4x = 60 x = 60/4 x = 15

The solution for the third equation is x = 15.

4) -3x – 17 = 8x – 105:

We'll proceed to solve for x in this equation.

-3x – 17 = 8x – 105 -3x - 8x = -105 + 17 -11x = -88 x = -88 / -11 x = 8

The solution for the fourth equation is x = 8.

5) 2(y + 3) = 21 – 3y:

We'll solve for y in this equation.

2(y + 3) = 21 – 3y 2y + 6 = 21 – 3y 2y + 3y = 21 – 6 5y = 15 y = 15 / 5 y = 3

The solution for the fifth equation is y = 3.

6) (2 – c) + 3(c – 3) = -13:

We'll proceed to solve for c in this equation.

(2 – c) + 3(c – 3) = -13 2 - c + 3c - 9 = -13 2c - c - 7 = -13 c - 7 = -13 c = -13 + 7 c = -6

The solution for the sixth equation is c = -6.

7) -3(1 – 3b) – 12 = 2:

Finally, we'll solve for b in this equation.

-3(1 – 3b) – 12 = 2 -3 + 9b – 12 = 2 9b - 15 = 2 9b = 2 + 15 9b = 17 b = 17 / 9

The solution for the seventh equation is b = 17/9.

These are the solutions for all 7 equations. If you have any further questions or need additional assistance, feel free to ask!