Question

1)10x - 11 = 4x − 7; 2) 14x − 25 = 20x + 9; 3) -3(5 - x ) = 35 - 5x; 4) 14x + 3 = 8x - 43; 5) 0,8(x − 2) + 2,6 = 0,5(7 + x)

Answer 1

Ответ:1)2/3; 2)-17/3; 3)х=35/4; 4)х=-23/3; 5)х=25/3

Пошаговое объяснение:

1)10х-4х=-7+11

6х=4

х=2/3

2)14х-20х=9+25

-6х=34

х=-17/3

3)-15+3х=35_5х

3х+5х=35+15

8х=50х=25/4

4)14х-8х=-43-3

6х=-46

х=-23/3

5)0,8х-1,6+2,6=3,5+0,5х

0,8х+1=3,5+0,5х

0,8х-0,5х=3,5-1

0,3х=2,5

Х=25/3

Answer 2

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

1. 10x - 11 = 4x - 7

First, let's gather all the x terms on one side and the constant terms on the other side:

10x - 4x = -7 + 11

Simplifying the equation:

6x = 4

Now, divide both sides of the equation by 6 to solve for x:

x = 4/6

Simplifying the fraction:

x = 2/3

Therefore, the solution to the equation is x = 2/3.

2. 14x - 25 = 20x + 9

Similarly, let's gather the x terms on one side and the constant terms on the other side:

14x - 20x = 9 + 25

Simplifying the equation:

-6x = 34

Now, divide both sides of the equation by -6:

x = 34/(-6)

Simplifying the fraction:

x = -17/3

So, the solution to the equation is x = -17/3.

3. -3(5 - x) = 35 - 5x

Using the distributive property, we can simplify the equation:

-15 + 3x = 35 - 5x

Let's gather the x terms on one side and the constant terms on the other side:

3x + 5x = 35 + 15

Simplifying the equation:

8x = 50

Now, divide both sides of the equation by 8:

x = 50/8

Simplifying the fraction:

x = 25/4

Therefore, the solution to the equation is x = 25/4.

4. 14x + 3 = 8x - 43

Gather the x terms on one side and the constant terms on the other side:

14x - 8x = -43 - 3

Simplifying the equation:

6x = -46

Divide both sides of the equation by 6:

x = -46/6

Simplifying the fraction:

x = -23/3

So, the solution to the equation is x = -23/3.

5. 0.8(x - 2) + 2.6 = 0.5(7 + x)

First, distribute the 0.8 and 0.5:

0.8x - 1.6 + 2.6 = 0.5(7) + 0.5x

Combine the constants on both sides:

0.8x + 1 = 3.5 + 0.5x

Subtract 0.5x from both sides:

0.8x - 0.5x + 1 = 3.5

Combine the x terms:

0.3x + 1 = 3.5

Subtract 1 from both sides:

0.3x = 3.5 - 1

Simplifying:

0.3x = 2.5

Now, divide both sides of the equation by 0.3:

x = 2.5/0.3

Simplifying the fraction:

x ≈ 8.33

Therefore, the solution to the equation is x ≈ 8.33.