x uchun yechish
x=-\frac{7}{2z-5}
z\neq \frac{5}{2}
z uchun yechish
z=\frac{5}{2}-\frac{7}{2x}
x\neq 0
Viktorina
Linear Equation
2zx+5=5x-2
Baham ko'rish
Klipbordga nusxa olish
2zx+5-5x=-2
Ikkala tarafdan 5x ni ayirish.
2zx-5x=-2-5
Ikkala tarafdan 5 ni ayirish.
2zx-5x=-7
-7 olish uchun -2 dan 5 ni ayirish.
\left(2z-5\right)x=-7
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2z-5\right)x}{2z-5}=-\frac{7}{2z-5}
Ikki tarafini 2z-5 ga bo‘ling.
x=-\frac{7}{2z-5}
2z-5 ga bo'lish 2z-5 ga ko'paytirishni bekor qiladi.
2zx=5x-2-5
Ikkala tarafdan 5 ni ayirish.
2zx=5x-7
-7 olish uchun -2 dan 5 ni ayirish.
2xz=5x-7
Tenglama standart shaklda.
\frac{2xz}{2x}=\frac{5x-7}{2x}
Ikki tarafini 2x ga bo‘ling.
z=\frac{5x-7}{2x}
2x ga bo'lish 2x ga ko'paytirishni bekor qiladi.
z=\frac{5}{2}-\frac{7}{2x}
5x-7 ni 2x 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}