\(\frac{1}{x}-\frac{3}{y}=\frac{1}{8}\)

\(\Leftrightarrow\frac{1}{x}=\frac{1}{8}+\frac{3}{y}\)

\(\Leftrightarrow\frac{1}{x}=\frac{y}{8y}+\frac{24}{8y}=\frac{y+24}{8y}\)

\(\Leftrightarrow8y=x\left(y+24\right)\)

Dễ rồi lập bảng giải nốt e nhé ! 

\(a,\frac{x-1}{9}=\frac{8}{3}\)

\(\Leftrightarrow x-1=24\)

\(\Rightarrow x=25\)

\(b,-\frac{x}{4}=-\frac{9}{x}\)

\(\Leftrightarrow x^2=36\)

\(\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)

\(c,\frac{x}{4}=\frac{18}{x+1}\)

\(\Leftrightarrow x^2+x=72\)

\(\Leftrightarrow x\left(x+1\right)=72..\)

ấn nhầm: lm tiếp nhé!

\(x\left(x+1\right)=72\)

\(\text{Mà x thuộc Z nên }x\left(x+1\right)=8\left(8+1\right)\)

\(\Leftrightarrow x=8\)

\(A=\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+..........+\frac{1}{49.50}\)

\(\Leftrightarrow A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+..........+\frac{1}{49}-\frac{1}{50}\)

\(\Leftrightarrow A=1-\frac{1}{50}=\frac{49}{50}\)

cái kia tự tìm

Bài 4: Tìm x

a. \(\left(2x-5\right)+17=6\)

\(2x-5=6-17\)

\(2x-5=-11\)

\(2x=-11+5\)

\(2x=-6\)

\(x=-3\)

b.\(10-2\left(4-3x\right)=-4\)

\(-2\left(4-3x\right)=-4-10\)

\(-8+6x=-14\)

\(6x=-6\)

\(x=-1\)

c. \(-12+3\left(-x+7\right)=-18\)

\(3\left(-x+7\right)=-18+12\)

\(-3x+21=-6\)

\(-3x=-27\)

\(x=9\)

d.\(24:\left(3x-2\right)=-3\)

\(24:\left(-3\right)=3x-2\)

\(-8=3x-2\)

\(-6=3x\)

\(x=-2\)

cảm ơn bạn nhìu

a, 11 1/4-(2 5/7+5 1/4)

= 45/4-(19/7+21/4)

= 45/4-223/28

=23/7

b, (8 5/11+3 5/8)-3 5/11

=(93/11+29/8)-38/11

=1063/88-38/11

=69/8

a,  =\(11\frac{1}{4}-2\frac{5}{7}-5\frac{1}{4}\)

\(=\left(11\frac{1}{4}-5\frac{1}{4}\right)-2\frac{5}{7}\)

\(=6-2\frac{5}{7}\)

\(=\frac{23}{7}\)

b,  \(=8\frac{5}{11}+3\frac{5}{8}-3\frac{5}{11}\)

\(=\left(8\frac{5}{11}-3\frac{5}{11}\right)+3\frac{5}{8}\)

\(=5+3\frac{5}{8}\)

\(=\frac{69}{8}\)

Ta có : 

\(\frac{-16}{32}=\frac{-16:16}{32:16}=\frac{-1}{2}\)

+)\(\frac{-1}{2}=\frac{x}{-10}\)

=> (-10) x (-1) = X x 2

=> 10 = X x 2

=> X = 10 : 2 

=> X = 5

+) \(\frac{-1}{2}=\frac{-7}{y}\)

=> (-1) x Y = (-7) x 2

=> -Y = -14

=> Y = 14

+)\(\frac{-1}{2}=\frac{z}{24}\)

=> (-1) x 24 = Z x 2

=> -24 = Z x 2

=> Z = -24 : 2

=> Z = -12

Kết luận : X = 5

                Y = 14

                Z = 12

các  bạn ơi mình đang cần gấp . Mình chỉ còn 20 phút thui .  HUHU

              Bài làm :

1) \(\frac{x+11}{4}=\frac{2x+4}{5}\)

\(\Leftrightarrow\left(x+11\right).5=4.\left(2x+4\right)\)

\(\Leftrightarrow5x+55=8x+16\)

\(\Leftrightarrow5x-8x=16-55\)

\(\Leftrightarrow-3x=-39\)

\(\Leftrightarrow x=\frac{-39}{-3}=\frac{39}{3}=13\)

2)\(\frac{x+4}{x+10}=\frac{3}{5}\)

\(\Leftrightarrow\left(x+4\right).5=\left(x+10\right).3\)

\(\Leftrightarrow5x+20=3x+30\)

\(\Leftrightarrow5x-3x=30-20\)

\(\Leftrightarrow2x=10\)

\(\Leftrightarrow x=\frac{10}{2}=5\)

3)\(\frac{x+8}{x+14}=\frac{2}{3}\)

\(\Leftrightarrow\left(x+8\right).3=\left(x+14\right).2\)

\(\Leftrightarrow3x+24=2x+28\)

\(\Leftrightarrow3x-2x=28-24\)

\(\Leftrightarrow x=4\)

1/9 . x=12/11-8/9

1/9 . x =20/99

x=20/99:1/9

x=20/11

• Ta co : \(\frac{1}{9}.x=\frac{12}{11}-\frac{8}{9}\)

                         =>   \(\frac{1}{9}.x=\frac{20}{99}\) 

                         =>     \(x=\frac{20}{99}:\frac{1}{9}\)

                         =>     \(x=\frac{20}{11}\)

\(\frac{1}{2}a-\frac{3}{4}=\frac{5}{15}\)

\(\Leftrightarrow\frac{1}{2}a-\frac{3}{4}=\frac{1}{3}\)

\(\Leftrightarrow\frac{1}{2}a=\frac{1}{3}+\frac{3}{4}\)

\(\Leftrightarrow\frac{1}{2}a=\frac{4}{12}+\frac{9}{12}\)

\(\Leftrightarrow\frac{1}{2}a=\frac{13}{12}\)

\(\Leftrightarrow a=\frac{13}{12}\div\frac{1}{2}\)

\(\Leftrightarrow a=\frac{13}{12}\times\frac{2}{1}\)

\(\Leftrightarrow a=\frac{13}{6}\)

\(\left(x+\frac{1}{8}\right):\frac{2}{3}=3-\frac{3}{4}\)

\(\left(x+\frac{1}{8}\right):\frac{2}{3}=\frac{9}{4}\)

\(x+\frac{1}{8}=\frac{9}{4}.\frac{2}{3}\)

\(x+\frac{1}{8}=\frac{3}{2}\)

\(x=\frac{3}{2}-\frac{1}{8}\)

\(x=\frac{11}{8}\)

Vậy \(x=\frac{11}{8}\)