x uchun yechish
x=\frac{4y+z}{6}
y uchun yechish
y=\frac{3x}{2}-\frac{z}{4}
Baham ko'rish
Klipbordga nusxa olish
12y+12x=20y+2z
Tenglamaning ikkala tarafini 4 ga ko'paytirish.
12x=20y+2z-12y
Ikkala tarafdan 12y ni ayirish.
12x=8y+2z
8y ni olish uchun 20y va -12y ni birlashtirish.
\frac{12x}{12}=\frac{8y+2z}{12}
Ikki tarafini 12 ga bo‘ling.
x=\frac{8y+2z}{12}
12 ga bo'lish 12 ga ko'paytirishni bekor qiladi.
x=\frac{z}{6}+\frac{2y}{3}
8y+2z ni 12 ga bo'lish.
12y+12x=20y+2z
Tenglamaning ikkala tarafini 4 ga ko'paytirish.
12y+12x-20y=2z
Ikkala tarafdan 20y ni ayirish.
-8y+12x=2z
-8y ni olish uchun 12y va -20y ni birlashtirish.
-8y=2z-12x
Ikkala tarafdan 12x ni ayirish.
\frac{-8y}{-8}=\frac{2z-12x}{-8}
Ikki tarafini -8 ga bo‘ling.
y=\frac{2z-12x}{-8}
-8 ga bo'lish -8 ga ko'paytirishni bekor qiladi.
y=\frac{3x}{2}-\frac{z}{4}
2z-12x ni -8 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}