Sửa đề: 3(x-1)=2(y+2)

Ta có: 3(x-1)=2(y+2)

\(\Leftrightarrow6\left(x-1\right)=4\left(y+2\right)\)

mà 4(y+2)=5(z-3)

nên \(6\left(x-1\right)=4\left(y+2\right)=5\left(z-3\right)\)

\(\Leftrightarrow\dfrac{x-1}{\dfrac{1}{6}}=\dfrac{y+2}{\dfrac{1}{4}}=\dfrac{z-3}{\dfrac{1}{5}}\)

\(\Leftrightarrow\dfrac{2x-2}{\dfrac{1}{3}}=\dfrac{3y+6}{\dfrac{3}{4}}=\dfrac{4z-12}{\dfrac{4}{5}}\)

mà 2x+3y-4z=205

nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:

\(\dfrac{2x-2}{\dfrac{1}{3}}=\dfrac{3y+6}{\dfrac{3}{4}}=\dfrac{4z-12}{\dfrac{4}{5}}=\dfrac{2x-2+3y+6-4z+12}{\dfrac{1}{3}+\dfrac{3}{4}-\dfrac{4}{5}}=\dfrac{205+16}{\dfrac{17}{60}}=780\)

Do đó: 

\(\left\{{}\begin{matrix}\dfrac{2x-2}{\dfrac{1}{3}}=780\\\dfrac{3y+6}{\dfrac{3}{4}}=780\\\dfrac{4z-12}{\dfrac{4}{5}}=780\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x-2=260\\3y+6=585\\4z-12=624\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}2x=262\\3y=579\\4z=636\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=131\\y=193\\z=159\end{matrix}\right.\)

Vậy: (x,y,z)=(131;193;159)

204 x 207 +200 / 207 x 205 -7

= 204 x 207 +207 - 7 / 207 x 205 -7

= 207 x ( 204 +1 ) -7 / 207 x 205 -7

= 207 x 205 -7 / 207 x 205 -7

= 1

tick nha !

a,\(\left(x-15\right):50+22=24\)

\(< =>\frac{\left(x-15\right)}{50}=2< =>x-15=100\)

\(< =>x=100+15=115\)

b,\(42-\left(2x+32\right)+12:2=6\)

\(< =>42-2x-32=0\)

\(< =>10-2x=0< =>x=\frac{10}{2}=5\)

Làm nốt :

c) \(134-2\left\{156-6\cdot\left[54-2\cdot\left(9+6\right)\right]\right\}\cdot x=86\)

=> 134 - 2{156 - 6 . [54 - 2 . 15]} . x = 86

=> 134 - 2{156 - 6 . [54 - 30]} . x = 86

=> 134 - 2{156 - 6. 24} . x = 86

=> 134 - 2{156 - 144} . x = 86

=> 134 - 2.12 . x = 86

=> 134 - 24 . x = 86

=> 24.x = 48

=> x = 2

Bài 2 : a) 120 : [21 - (4x - 4)] = 2³.3

=> 120 : [21 - (4x - 4)] = 8.3

=> 120 : [21 - (4x - 4)] = 24

=> 21 - (4x - 4) = 5

=> 4x - 4 = 16

=> 4x = 20

=> x = 5

b) 3.[205 - (x - 9)] - 486 = 0

=> 3.[205 - (x - 9)] = 486

=> 205 - (x - 9) = 162

=> x - 9 = 205 - 162 = 43

=> x = 43 + 9 = 52

c) 204 - 2{200 - 5.[64 - 2.(11 + 6)]} . x = 4

=> 204 - 2{200 - 5.[64 - 2.17]} . x = 4

=> 204 - 2{200 - 5 .[64 - 34]}.x = 4

=> 204 - 2{200 - 5.30} . x = 4

=> 204 - 2{200 - 150}.x = 4

=> 204 - 2.50 . x = 4

=> 2.50.x = 200

=> 100.x = 200

=> x = 2

1,

\(75\cdot x=1800\)                                                        \(1855:x=35\)

\(x=1800:75=24\)                                              \(x=1855:35=53\)

\(\Rightarrow x=24\)                                                                  \(\Rightarrow x=53\)

2,

\(12062\cdot205=2472710\)

\(15458\cdot340=5255720\)

\(2815111\cdot12=33781332\)

TK MK NHA. CHUCA BẠN HỌC TỐT.^_^

2 phút trước (09:20)

1 :

75 x X = 1800 

X= 1800 : 75

X= 24

                                                                                                                                                                                                                  1855 : X = 35 

X= 1855 : 35

X= 53

                                                                                                                                                                                                                        X : 204 = 543

X= 543 x 204

X= 110772

2 :

12062 x 205 = 2472710

15458 x 340 =5255720

2815111 x 12 = 33781332

1 :

x = 24                         

x = 53

x = 110772

2 :

= 2472710

= 5255720

= 33781332

Ta có: 

\(205< 5\times x< 215\)

\(\Rightarrow5\times x=210\)

\(\Rightarrow x=210:5\)

\(\Rightarrow x=42\)

camon ban ạ

1+2+3+...+x=205

\(\frac{x.\left(x+1\right)}{2}=205\)

x.(x+1)=205.2

x.(x+1)=410

x.(x+1)=đề sai