Question

Розв'яжіть рiвняння: 1) 32x+119=247; 2) 283-15x=58; 3) x: 63.14=196; 4) x 24-38=466; 5) x:12+203=221; 6) 293-252:x=251; 7) 31(15+x)=961; 8) (87-x)-38-874; 9) (x-68)-37-1887; 10) 1692: (x+35)=47; 11) 72(167-12x)=4248; 12) 1404: (118-x)=54.​

Answer 1

Ответ:

$1)32x + 119 = 247 \\ 32x = 247 - 119 \\ 32x = 128 \\ x = 4 \\ 2)283 - 15x = 58 \\ - 15x = 58 - 283 \\ - 15x = - 225 \\ x = 15 \\ 3)x \div 63.14 = 196 \\ x \div \frac{3157}{50} = 196 \\ x \times \frac{50}{3157} = 196 \\ \frac{50}{3157} x = 196 \\ x = \frac{309386}{25} \\ 4)x + \times 24 - 38 = 466 \\ 24x - 38 = 466 \\ 24x = 466 + 38 \\ 24x = 466 + 38 \\ 24x = 504 \\ x = 21$

5) х:12+203=221

1/12х+203=221

x +2436=2652

x=2652-2436

x=216

6) 293-252:х=251

293-252-х=251, ≠0

293-252/х=251

-252/х=251-293

-252/х=251-293

-252/х=-42

252=42х

42х=252

х=6, х=0

х=6

7) 31(15+x)=961

15+x=31

x=31-15

x=16

8)(87-x)-38-874

(87-x)-38-874=0

x=-874

9) (x-68)-37-1887

(x-68)-37-1887=0

x=1992

10) 1692: (x+35)=47

1692: (x+35)=47, x≠0

1692/x+35=47

1692/x=47-35

1692/x=12

1692=12x

12x=1692

x=141, ≠0

x=141

11) 72(167-12x)=4248

167-12x=59

-12x=59-167

-12x=-108

x=9

12) 1404: (118-x)=54.

1404/118-x=54

702/59-x=54

-x = 54-702/59

-x = 2484/59