Solve for x
x=\frac{y+6i}{3}
Solve for y
y=3\left(x-2i\right)
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12i=\sqrt{36}x-2y
Calculate -144 to the power of \frac{1}{2} and get 12i.
12i=6x-2y
Calculate the square root of 36 and get 6.
6x-2y=12i
Swap sides so that all variable terms are on the left hand side.
6x=12i+2y
Add 2y to both sides.
6x=2y+12i
The equation is in standard form.
\frac{6x}{6}=\frac{2y+12i}{6}
Divide both sides by 6.
x=\frac{2y+12i}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{3}+2i
Divide 12i+2y by 6.
12i=\sqrt{36}x-2y
Calculate -144 to the power of \frac{1}{2} and get 12i.
12i=6x-2y
Calculate the square root of 36 and get 6.
6x-2y=12i
Swap sides so that all variable terms are on the left hand side.
-2y=12i-6x
Subtract 6x from both sides.
\frac{-2y}{-2}=\frac{12i-6x}{-2}
Divide both sides by -2.
y=\frac{12i-6x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=3x-6i
Divide 12i-6x by -2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}