12 + x / 43 - x có tổng là 12 + 43 = 55

Tổng số phần bằng nhau :

 2 + 3 = 5 ( phần )

 Giá trị 1 phần :

 55 : 5 = 11

x là :

  ( 11 x 2 ) - 12 = 10 

b ) x/5 < 3/7 <=> 7x/35  < 15/35

=> 7x = 14

       x = 2

c ) 1 < 11/x < 2

     11/5 > 2 

=> 5 < x < 11

x { 6 ; 7 ; 8 ; 9 ; 10 }

a)33:11=3

7x3=21,21-6=15

x=15

a, \(\frac{6+x}{33}=\frac{7}{11}\)

\(\Leftrightarrow\left(6+x\right).11=7.33\)

\(\Leftrightarrow66+11x=231\)

\(\Leftrightarrow11x=231-66\)

\(\Leftrightarrow x=\frac{165}{11}=15\)

Vậy x = 15.

b,\(\frac{12+x}{43-x}=\frac{2}{3}\)

\(\Leftrightarrow3.\left(12+x\right)=2\left(43-x\right)\)

\(\Leftrightarrow36+3x=86-2x\)

\(\Leftrightarrow3x+2x=-36+86\)

\(\Leftrightarrow5x=50\)

\(\Leftrightarrow x=10\)

Vây x = 10.

tích đúng mình làm cho

A/ \(\frac{x}{17}=\frac{60}{204}\)

\(204x=60.17\)

\(204x=1020\)

\(x=\frac{1020}{204}\)

\(x=\frac{17}{4}=4,25\)

vậy x= 4,25

B/ \(\left(6+x\right).11=33.7\)

\(66+11x=231\)

\(11x=231-66=165\)

\(x=\frac{165}{11}\)

\(x=15\)

vậy x = 15

C/ \(\left(12+x\right).3=\left(43-x\right).2\)

\(36+3x=86-2x\)

\(3x+2x=86-36\)

\(5x=50\)

\(x=\frac{50}{5}=10\)

vậy x=10

mk nhầm 

phần a là \(\frac{1020}{204}\)= 5 nha

mk nhầm, xin lỗi

\(\frac{12+x}{43-x}=\frac{2}{3}\)\(\Rightarrow3\left(12+x\right)=2\left(43-x\right)\)

\(\Rightarrow36+3x=86-2x\)

\(\Rightarrow36+3x-86+2x=0\)

\(\Rightarrow5x=50\)

\(\Rightarrow x=10\)

\(\frac{12+x}{43-x}=\frac{2}{3}\)

\(\frac{\left(12+x\right)\times3}{\left(43-x\right)\times3}=\frac{2\times\left(43-x\right)}{3\times\left(43-x\right)}\)

\(\left(12+x\right)\times3=2\times\left(43-x\right)\)

\(36+x\times3=86-2\times x\)

\(x\times3+2\times x=86-36\)

\(x\times5=50\)

      \(x=50\div5\)

      \(x=10\)

a)\(\frac{x}{17}=\frac{60}{204}=\frac{5}{17}\Rightarrow x=5\)

b)\(\frac{6+x}{33}=\frac{7}{11}\Rightarrow11\left(6+x\right)=7.33\Rightarrow11.6+11x=231\Rightarrow66+11x=231\)

\(\Rightarrow11x=231-66\Rightarrow11x=165\Rightarrow x=\frac{165}{11}=15\)

c)\(\frac{12+x}{43-x}=\frac{2}{3}\Rightarrow2\left(43-x\right)=3\left(12+x\right)\Rightarrow2.43-2x=3.12+3x\)

\(86-2x=36+3x\Rightarrow86-36=3x+2x\Rightarrow50=5x\Rightarrow x=\frac{50}{5}=10\)

đkxđ: \(x,y\ne0\)

Khai triển ra ta được\(\frac{x^2}{y}-\frac{x^2}{43}+\frac{y^2}{x}-\frac{y^2}{43}+x+y=0\)

<=> \(\frac{x^2+y^2}{y}+\frac{x^2+y^2}{x}-\frac{x^2+y^2}{43}=0\)

<=>\(\frac{1}{x}+\frac{1}{y}-\frac{1}{43}=0\)

<=> \(\frac{x+y}{xy}=\frac{1}{43}\)

<=>\(43\left(x+y\right)-xy=0\)\(\orbr{\begin{cases}\hept{\begin{cases}43-x=1849\\43-y=1\end{cases}}\\\hept{\begin{cases}43-x=1\\43-y=1849\end{cases}}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\hept{\begin{cases}x=42\\y=-1806\end{cases}}\\\hept{\begin{cases}x=-1806\\y=42\end{cases}}\end{cases}}\)

<=>\(\left(43-x\right)\left(43-y\right)=1849\)(tự phân tích nhân tử)

  Tự giải phương trình ước số ra nghiệm (x,y)={(42;-1806);(-1806:42)}

\(\frac{x}{12}=\frac{3}{x}\Rightarrow12\cdot3=x^2\Rightarrow36=x^2\Rightarrow x=6\left(x\inℕ\right)\)

\(\frac{x}{12}=\frac{3}{x}\)

\(\frac{x}{12}.x=\frac{3}{x}.x\)

\(\frac{x^2}{12}=3\)

\(x^2=3.12=36\)

\(x=6\)

\(\frac{x}{12}=\frac{1}{x}.3\) 

\(x^2=12.3=36\) 

\(\Rightarrow x\in\left\{6;-6\right\}\) mà \(x\in N\) 

=> x=6

Vậy....

Theo bài ra , ta có : 

x < \(\frac{94}{15}\) < y

\(\Leftrightarrow x< 6,2\left(6\right)< y\)

\(\Rightarrow\) x = 6 và y = 7 

Vậy x = 6 và y = 7