\{ y = k x + 1
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{y-1}{k}\text{, }&k\neq 0\\x\in \mathrm{C}\text{, }&y=1\text{ and }k=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{y-1}{k}\text{, }&k\neq 0\\x\in \mathrm{R}\text{, }&y=1\text{ and }k=0\end{matrix}\right.
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kx+1=y
Swap sides so that all variable terms are on the left hand side.
kx=y-1
Subtract 1 from both sides.
\frac{kx}{k}=\frac{y-1}{k}
Divide both sides by k.
x=\frac{y-1}{k}
Dividing by k undoes the multiplication by k.
kx+1=y
Swap sides so that all variable terms are on the left hand side.
kx=y-1
Subtract 1 from both sides.
\frac{kx}{k}=\frac{y-1}{k}
Divide both sides by k.
x=\frac{y-1}{k}
Dividing by k undoes the multiplication by k.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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Arithmetic
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Matrix
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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
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