x uchun yechish
x=\frac{3y+5z}{2}
y uchun yechish
y=\frac{2x-5z}{3}
Baham ko'rish
Klipbordga nusxa olish
3x+3y-5x=-5z
Ikkala tarafdan 5x ni ayirish.
-2x+3y=-5z
-2x ni olish uchun 3x va -5x ni birlashtirish.
-2x=-5z-3y
Ikkala tarafdan 3y ni ayirish.
-2x=-3y-5z
Tenglama standart shaklda.
\frac{-2x}{-2}=\frac{-3y-5z}{-2}
Ikki tarafini -2 ga bo‘ling.
x=\frac{-3y-5z}{-2}
-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.
x=\frac{3y+5z}{2}
-5z-3y ni -2 ga bo'lish.
3y=5x-5z-3x
Ikkala tarafdan 3x ni ayirish.
3y=2x-5z
2x ni olish uchun 5x va -3x ni birlashtirish.
\frac{3y}{3}=\frac{2x-5z}{3}
Ikki tarafini 3 ga bo‘ling.
y=\frac{2x-5z}{3}
3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.
Misollar
Ikkilik tenglama
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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
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Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}