Question

100/(x-8)=20 8(10-x)=24 85/(x-25)=5 (x+8)/6=5 с объяснением

Answer 1

100/(x-8)=20

20(х-8)=100

Х-8=100:20

Х-8=5

Х=8+5

Х=13

8(10-x)=24

24(10-х)=8

10-х=8:24

10-х=1/3

-х=1/3-10

-х=-9 2/3

Х=9 2/3

85/(x-25)=5

5(х-25)=85

Х-25=85:5

Х-25=17

Х=17+25

Х=42

(x+8)/6=5

Х+8=6*5

Х+8=30

Х=30-8

Х=22

Answer 2

To solve each of these equations, we'll follow a step-by-step process. The goal is to isolate the variable "x" on one side of the equation.

1. 100/(x-8) = 20

To isolate x, we'll first get rid of the fraction by multiplying both sides of the equation by (x-8):

100 = 20(x-8)

Next, distribute the 20 on the right side:

100 = 20x - 160

Now, let's isolate the variable term by moving the constant term to the other side:

100 + 160 = 20x

260 = 20x

Finally, divide both sides by 20 to solve for x:

x = 260 / 20

x = 13

2. 8(10-x) = 24

Start by distributing the 8 on the left side of the equation:

80 - 8x = 24

Now, let's isolate the variable term by moving the constant term to the other side:

80 - 24 = 8x

56 = 8x

Finally, divide both sides by 8 to solve for x:

x = 56 / 8

x = 7

3. 85/(x-25) = 5

To get rid of the fraction, we'll multiply both sides of the equation by (x-25):

85 = 5(x-25)

Now, distribute the 5 on the right side:

85 = 5x - 125

Let's isolate the variable term by moving the constant term to the other side:

85 + 125 = 5x

210 = 5x

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

x = 210 / 5

x = 42

4. (x+8)/6 = 5

To isolate x, we'll first get rid of the fraction by multiplying both sides by 6:

6 * (x+8)/6 = 6 * 5

The 6 on the left side cancels out, leaving:

x + 8 = 30

Now, isolate the variable term by moving the constant term to the other side:

x = 30 - 8

x = 22

So, the solutions for the equations are:

1. x = 13
2. x = 7
3. x = 42
4. x = 22