x uchun yechish (complex solution)
\left\{\begin{matrix}x=-\frac{\alpha -y}{\beta }\text{, }&\beta \neq 0\\x\in \mathrm{C}\text{, }&y=\alpha \text{ and }\beta =0\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}x=-\frac{\alpha -y}{\beta }\text{, }&\beta \neq 0\\x\in \mathrm{R}\text{, }&y=\alpha \text{ and }\beta =0\end{matrix}\right,
y uchun yechish
y=x\beta +\alpha
Grafik
Viktorina
Linear Equation
y = \beta x + \alpha
Baham ko'rish
Klipbordga nusxa olish
\beta x+\alpha =y
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\beta x=y-\alpha
Ikkala tarafdan \alpha ni ayirish.
\frac{\beta x}{\beta }=\frac{y-\alpha }{\beta }
Ikki tarafini \beta ga bo‘ling.
x=\frac{y-\alpha }{\beta }
\beta ga bo'lish \beta ga ko'paytirishni bekor qiladi.
\beta x+\alpha =y
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\beta x=y-\alpha
Ikkala tarafdan \alpha ni ayirish.
\frac{\beta x}{\beta }=\frac{y-\alpha }{\beta }
Ikki tarafini \beta ga bo‘ling.
x=\frac{y-\alpha }{\beta }
\beta ga bo'lish \beta 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}