\left\{ \begin{array} { c } { 3 I _ { 1 } - I _ { 2 } - 2 I _ { 3 } = 7 - u } \\ { 6 I _ { 2 } - 3 I _ { 3 } - I _ { 1 } = 0 } \\ { 6 I _ { 3 } - 2 I _ { 1 } - 3 I _ { 2 } = u } \\ { 7 A = I _ { 3 } - I _ { 1 } } \end{array} \right.
Solve for I_1, I_2, I_3, u, A
I_{1}=3-6A
I_{2}=-\frac{A}{2}+2
I_{3}=A+3
u=\frac{39A}{2}+6
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}