Question

820. 2) 2(2-y)=y- 5:4) 2a - (14 - 3а) = -10 SOS​

Answer 1

Решение:

2) 2(2-y)=y- 5

4 - 2у = у - 5

- 2у - у = - 5 - 4

- 3у = - 9

у = - 9 : (-3)

у = 3.

Проверка:

2•(2 - 3) = 3 - 5

-2 = -2 - верно.

Ответ: 3.

4) 2a - (14 - 3а) = -10

2а - 14 + 3а = - 10

5а = - 10 + 14

5а = 4

а = 4:5

а = 0,8.

Проверка:

2•0,8 - (14 - 3•0,8) = -10

1,6 - 11,6 = - 10

- 10 = - 10 - верно.

Ответ: 0,8.

Answer 2

Let's solve the given equations step by step:

1. 2(2-y) = y - 5

First, distribute the 2 to the terms inside the parentheses:

4 - 2y = y - 5

Next, let's gather all the y terms on one side and the constant terms on the other side:

-2y - y = -5 - 4

Combine like terms:

-3y = -9

Now, divide both sides by -3 to solve for y:

y = (-9) / (-3) y = 3

Therefore, the solution to the first equation is y = 3.

2. 2a - (14 - 3a) = -10

Start by simplifying the expression within the parentheses:

2a - 14 + 3a = -10

Combine like terms:

5a - 14 = -10

Next, isolate the variable by adding 14 to both sides:

5a = -10 + 14 5a = 4

Finally, divide both sides by 5 to solve for a:

a = 4 / 5 a = 0.8

So, the solution to the second equation is a = 0.8.

In summary:

1. y = 3
2. a = 0.8