x uchun yechish
x=\frac{5y}{4}
y uchun yechish
y=\frac{4x}{5}
Grafik
Viktorina
Linear Equation
10x+y=11y+2x
Baham ko'rish
Klipbordga nusxa olish
10x+y-2x=11y
Ikkala tarafdan 2x ni ayirish.
8x+y=11y
8x ni olish uchun 10x va -2x ni birlashtirish.
8x=11y-y
Ikkala tarafdan y ni ayirish.
8x=10y
10y ni olish uchun 11y va -y ni birlashtirish.
\frac{8x}{8}=\frac{10y}{8}
Ikki tarafini 8 ga bo‘ling.
x=\frac{10y}{8}
8 ga bo'lish 8 ga ko'paytirishni bekor qiladi.
x=\frac{5y}{4}
10y ni 8 ga bo'lish.
10x+y-11y=2x
Ikkala tarafdan 11y ni ayirish.
10x-10y=2x
-10y ni olish uchun y va -11y ni birlashtirish.
-10y=2x-10x
Ikkala tarafdan 10x ni ayirish.
-10y=-8x
-8x ni olish uchun 2x va -10x ni birlashtirish.
\frac{-10y}{-10}=-\frac{8x}{-10}
Ikki tarafini -10 ga bo‘ling.
y=-\frac{8x}{-10}
-10 ga bo'lish -10 ga ko'paytirishni bekor qiladi.
y=\frac{4x}{5}
-8x ni -10 ga bo'lish.
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}