Question

1) 3( 1 - х) = 4х - 11, 2) х - 7 = 1/2, 3) 18 - 5(х - 1) = 3х - 2.

Answer 1

Ответ:

1)2

2)7.5

3)25/8

__________

Answer 2

Ответ:

3( 1 - х) = 4х - 11

3-3х=4х-11

-3х-4х=-11-3

-7х=-14

х=2

х - 7 = 1/2

х=7+½

х=7½

18 - 5(х - 1) = 3х - 2

18-5х+5=3х-2

-5х-3х=-2-18-5

-8х=-25

х=3,125

Answer 3

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

1. 3(1 - x) = 4x - 11

First, distribute the 3 on the left side of the equation:

3 - 3x = 4x - 11

Now, move the terms involving x to one side of the equation and the constants to the other side:

3x + 4x = 3 + 11

Combine like terms:

7x = 14

Now, isolate x by dividing both sides by 7:

x = 14 / 7 x = 2

So, the solution to the first equation is x = 2.

2. x - 7 = 1/2

To isolate x, add 7 to both sides of the equation:

x - 7 + 7 = 1/2 + 7

x = 1/2 + 7

x = 1/2 + 14/2

x = (1 + 14)/2

x = 15/2

So, the solution to the second equation is x = 15/2 or x = 7.5.

3. 18 - 5(x - 1) = 3x - 2

First, distribute the -5 on the left side of the equation:

18 - 5x + 5 = 3x - 2

Now, simplify:

23 - 5x = 3x - 2

Next, move the terms involving x to one side of the equation and the constants to the other side:

-5x - 3x = -2 - 23

Combine like terms:

-8x = -25

Now, isolate x by dividing both sides by -8:

x = (-25) / (-8)

x = 25 / 8

So, the solution to the third equation is x = 25/8 or x = 3.125.

To summarize:

1. x = 2
2. x = 15/2 or x = 7.5
3. x = 25/8 or x = 3.125