解 x_2
\left\{\begin{matrix}x_{2}\in \begin{bmatrix}0,70-2x_{1}\end{bmatrix}\text{, }&x_{1}\geq 25\text{ and }x_{1}\leq 35\\x_{2}\in \begin{bmatrix}0,-\frac{4x_{1}}{5}+40\end{bmatrix}\text{, }&x_{1}\geq 0\text{ and }x_{1}<25\end{matrix}\right.
解 x_1
\left\{\begin{matrix}x_{1}\in \begin{bmatrix}0,-\frac{x_{2}}{2}+35\end{bmatrix}\text{, }&x_{2}\geq 0\text{ and }x_{2}\leq 20\\x_{1}\in \begin{bmatrix}0,-\frac{5x_{2}}{4}+50\end{bmatrix}\text{, }&x_{2}>20\text{ and }x_{2}\leq 40\end{matrix}\right.
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示例
二次方程式
{ x } ^ { 2 } - 4 x - 5 = 0
三角學
4 \sin \theta \cos \theta = 2 \sin \theta
線性方程
y = 3x + 4
算術
699 * 533
矩陣
\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]
聯立方程
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
微分
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
積分
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
限制
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}