x uchun yechish
x=-\frac{2y}{3}+z
y uchun yechish
y=\frac{3\left(z-x\right)}{2}
Viktorina
Linear Equation
3x+2y=3z
Baham ko'rish
Klipbordga nusxa olish
3x=3z-2y
Ikkala tarafdan 2y ni ayirish.
\frac{3x}{3}=\frac{3z-2y}{3}
Ikki tarafini 3 ga bo‘ling.
x=\frac{3z-2y}{3}
3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.
x=-\frac{2y}{3}+z
3z-2y ni 3 ga bo'lish.
2y=3z-3x
Ikkala tarafdan 3x ni ayirish.
\frac{2y}{2}=\frac{3z-3x}{2}
Ikki tarafini 2 ga bo‘ling.
y=\frac{3z-3x}{2}
2 ga bo'lish 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}