x uchun yechish
x=-1+\frac{4}{y}
y\neq 0
y uchun yechish
y=\frac{4}{x+1}
x\neq -1
Grafik
Baham ko'rish
Klipbordga nusxa olish
xy+1=5-y
Ikkala tarafdan y ni ayirish.
xy=5-y-1
Ikkala tarafdan 1 ni ayirish.
xy=4-y
4 olish uchun 5 dan 1 ni ayirish.
yx=4-y
Tenglama standart shaklda.
\frac{yx}{y}=\frac{4-y}{y}
Ikki tarafini y ga bo‘ling.
x=\frac{4-y}{y}
y ga bo'lish y ga ko'paytirishni bekor qiladi.
x=-1+\frac{4}{y}
4-y ni y ga bo'lish.
xy+y=5-1
Ikkala tarafdan 1 ni ayirish.
xy+y=4
4 olish uchun 5 dan 1 ni ayirish.
\left(x+1\right)y=4
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(x+1\right)y}{x+1}=\frac{4}{x+1}
Ikki tarafini x+1 ga bo‘ling.
y=\frac{4}{x+1}
x+1 ga bo'lish x+1 ga ko'paytirishni bekor qiladi.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}