Solve for j
j=\frac{u-5k-2i}{3}
Solve for k
k=\frac{u-3j-2i}{5}
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2i+3j+5k=u
Swap sides so that all variable terms are on the left hand side.
3j+5k=u-2i
Subtract 2i from both sides.
3j=u-2i-5k
Subtract 5k from both sides.
3j=u-5k-2i
The equation is in standard form.
\frac{3j}{3}=\frac{u-5k-2i}{3}
Divide both sides by 3.
j=\frac{u-5k-2i}{3}
Dividing by 3 undoes the multiplication by 3.
j=\frac{u}{3}-\frac{5k}{3}-\frac{2}{3}i
Divide u-2i-5k by 3.
2i+3j+5k=u
Swap sides so that all variable terms are on the left hand side.
3j+5k=u-2i
Subtract 2i from both sides.
5k=u-2i-3j
Subtract 3j from both sides.
5k=u-3j-2i
The equation is in standard form.
\frac{5k}{5}=\frac{u-3j-2i}{5}
Divide both sides by 5.
k=\frac{u-3j-2i}{5}
Dividing by 5 undoes the multiplication by 5.
k=\frac{u}{5}-\frac{3j}{5}-\frac{2}{5}i
Divide u-2i-3j by 5.
Examples
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{ 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}