x uchun yechish
x=\frac{3y}{2}-2z+\frac{5}{2}
y uchun yechish
y=\frac{2x+4z-5}{3}
Viktorina
Linear Equation
2x-3y+4z=5
Baham ko'rish
Klipbordga nusxa olish
2x+4z=5+3y
3y ni ikki tarafga qo’shing.
2x=5+3y-4z
Ikkala tarafdan 4z ni ayirish.
2x=3y-4z+5
Tenglama standart shaklda.
\frac{2x}{2}=\frac{3y-4z+5}{2}
Ikki tarafini 2 ga bo‘ling.
x=\frac{3y-4z+5}{2}
2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.
x=\frac{3y}{2}-2z+\frac{5}{2}
5+3y-4z ni 2 ga bo'lish.
-3y+4z=5-2x
Ikkala tarafdan 2x ni ayirish.
-3y=5-2x-4z
Ikkala tarafdan 4z ni ayirish.
-3y=5-4z-2x
Tenglama standart shaklda.
\frac{-3y}{-3}=\frac{5-4z-2x}{-3}
Ikki tarafini -3 ga bo‘ling.
y=\frac{5-4z-2x}{-3}
-3 ga bo'lish -3 ga ko'paytirishni bekor qiladi.
y=\frac{2x+4z-5}{3}
5-2x-4z ni -3 ga bo'lish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}