Solve for x_2
\left\{\begin{matrix}x_{2}\in \begin{bmatrix}0,90-2b\end{bmatrix}\text{, }&b\leq 45\text{ and }b>\frac{125}{3}\text{ and }a=b\text{ and }x_{1}=b\\x_{2}\in \begin{bmatrix}0,-\frac{4b}{5}+40\end{bmatrix}\text{, }&b>20\text{ and }b\leq \frac{125}{3}\text{ and }a=b\text{ and }x_{1}=b\\x_{2}\in \begin{bmatrix}0,-\frac{3b}{10}+30\end{bmatrix}\text{, }&b\leq 20\text{ and }a=b\text{ and }x_{1}=b\end{matrix}\right.
Solve for x_1
x_{1}=b
x_{2}\leq 90-2b\text{ and }x_{2}\leq -\frac{4b}{5}+40\text{ and }x_{2}\leq -\frac{3b}{10}+30\text{ and }x_{2}\geq 0\text{ and }a=b
Share
Copied to clipboard
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}