x uchun yechish
x=-\frac{2y-1}{y-3}
y\neq 3
y uchun yechish
y=\frac{3x+1}{x+2}
x\neq -2
Grafik
Baham ko'rish
Klipbordga nusxa olish
xy-3x=1-2y
Ikkala tarafdan 2y ni ayirish.
\left(y-3\right)x=1-2y
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(y-3\right)x}{y-3}=\frac{1-2y}{y-3}
Ikki tarafini y-3 ga bo‘ling.
x=\frac{1-2y}{y-3}
y-3 ga bo'lish y-3 ga ko'paytirishni bekor qiladi.
xy+2y=1+3x
3x ni ikki tarafga qo’shing.
\left(x+2\right)y=1+3x
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(x+2\right)y=3x+1
Tenglama standart shaklda.
\frac{\left(x+2\right)y}{x+2}=\frac{3x+1}{x+2}
Ikki tarafini x+2 ga bo‘ling.
y=\frac{3x+1}{x+2}
x+2 ga bo'lish x+2 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}