Question

83. 1) (x - 23) 14 = 56; 3) 205 (y - 27) = 41; 5) 89 (b +13) = 7120; 2) (200 + x): 12 =32; 4) 729 (c-15) = 81; 6) 12 (97 - 2) = 240. ●​

Answer 1

Ответ:

1)(x-23).14=56, x-23=56/14, x-23=4, x=4+23, x=27

2)(200+x):12=32, 200+x=32.12, 200+x=384, x=384-200, x=184

3)205:(y-27)=41, 205=(y-27).41, y-27=205/41, y-27=5,y=32

4)729:(c-15)=81,729=81(c-15),c-15=729/81,c-15=9,c=9+15,c=24

5)89.(b+13)=7120,b+13=7120/89,b+13=80, b=80-13,b=67

6)12.(97-z)=240,97-z=240/12, 97-z=20,z=97-20, z=77

1)43x+72=502, 43x=502-72,43x=430,x=430:43, x=10

2)67-21y=25, 21y=67-25, 21y=42, y=2

3)19y-200=47, 19y=47+200,19y=247, y=247/19, y=13

4)83+29x=982, 29x=982-83, 29x=899,x=899/29, x=31

Answer 2

To solve these equations, let's go through each one step by step:

1. (x - 23) * 14 = 56

First, distribute the 14 to the terms inside the parentheses:

14x - 322 = 56

Next, isolate the variable by adding 322 to both sides:

14x = 378

Finally, divide both sides by 14 to solve for x:

x = 27

2. (200 + x) / 12 = 32

First, multiply both sides of the equation by 12 to get rid of the fraction:

200 + x = 384

Next, isolate the variable by subtracting 200 from both sides:

x = 184

3. 205 * (y - 27) = 41

First, divide both sides of the equation by 205:

y - 27 = 0.2

Next, isolate the variable by adding 27 to both sides:

y = 27.2

4. 729 * (c - 15) = 81

First, divide both sides of the equation by 729:

c - 15 = 0.111...

Next, isolate the variable by adding 15 to both sides:

c = 15.111...

5. 89 * (b + 13) = 7120

First, divide both sides of the equation by 89:

b + 13 = 80

Next, isolate the variable by subtracting 13 from both sides:

b = 67

6. 12 * (97 - 2) = 240

First, simplify the expression inside the parentheses:

12 * 95 = 240

Therefore, the equation is already satisfied.

Solutions:

1. x = 27
2. x = 184
3. y = 27.2
4. c ≈ 15.111...
5. b = 67
6. Equation already satisfied.