a) Ta có : \(\frac{x}{3}-\frac{4}{y}=\frac{1}{5}\)

\(\Rightarrow\frac{x}{3}-\frac{1}{5}=\frac{4}{y}\)

\(\Rightarrow\frac{x.5}{15}-\frac{3}{15}=\frac{4}{y}\)

\(\Rightarrow\frac{x.5-3}{15}=\frac{4}{y}\)

\(\Rightarrow\left(x.5-3\right).y=15.4\)

\(\Rightarrow x.5.y-3.5=60\)

\(\Rightarrow xy5-15=60\)

 \(\Rightarrow xy5=60+15\)

\(\Rightarrow xy5=75\) 

\(\Rightarrow xy=75\div5\)

\(\Rightarrow xy=15\)

\(\Rightarrow xy=1.15=3.5=\left(-15\right)\left(-1\right)=\left(-3\right)\left(-5\right)=\left(-5\right)\left(-3\right)=\left(-1\right)\left(-15\right)=5.3=15.1\)

Do đó x = 1 thì y = 15

x = 3 thì y =5

x = -15 thì y = -1

x = -3 thì y = -5

x = -5 thì y = -3

x = -1 thì y = -15

x = 5 thì y = 3

x = 15 thì y = 1

(\(\frac45:\frac65\) + \(\frac15\) : \(\frac{1}{x}\)) x 30 - 26 = 54

(\(\frac45\times\frac56\) + \(\frac15\times x\)) x 30 = 54 + 26

(\(\frac23+\frac15x\)) x 30 = 80

\(\frac23+\frac15x\) = 80 : 30

\(\frac23+\frac15x=\frac83\)

\(\frac15x=\frac83-\frac23\)

\(\frac15x\) = 2

\(x=2:\frac15\)

\(x=2\times5\)

\(x=10\)

Vậy \(x=10\)

6,3 x y + 3,7 x y = 100

y x (6,3 + 3,7) = 100

y x 10 = 100

y = 100 : 10

y = 10

Vậy y = 10

a) \(\frac{1}{x}+\frac{y}{6}=\frac{1}{2}\)

\(\frac{1}{x}=\frac{1}{2}-\frac{y}{6}\)

\(\frac{1}{x}=\frac{3}{6}-\frac{y}{6}\)

\(\frac{1}{x}=\frac{3-y}{6}\)

\(\Rightarrow6=x.\left(3-y\right)\)

Lập bảng ta có :

Vậy ...

b) tương tự câu a

c) \(\frac{x-1}{9}+\frac{1}{3}=\frac{1}{y+2}\)

\(\frac{x-1}{9}+\frac{3}{9}=\frac{1}{y+2}\)

\(\frac{x+2}{9}=\frac{1}{y+2}\)

\(\Rightarrow\left(x+2\right).\left(y+2\right)=9\)

Vậy ...

d) \(\frac{x}{3}-\frac{4}{y}=\frac{1}{5}\)

\(\frac{4}{y}=\frac{x}{3}-\frac{1}{5}\)

\(\frac{4}{y}=\frac{5x}{15}-\frac{3}{15}\)

\(\frac{4}{y}=\frac{5x-3}{15}\)

\(\Rightarrow4.15=y.\left(5x-3\right)\)

\(\Rightarrow60=y.\left(5x-3\right)\)

Lập bảng ta có :

nhiều tự làm