Solve for H_11 (complex solution)
\left\{\begin{matrix}H_{11}=-\frac{6\left(y-11\right)}{x}\text{, }&x\neq 0\\H_{11}\in \mathrm{C}\text{, }&y=11\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{6\left(y-11\right)}{H_{11}}\text{, }&H_{11}\neq 0\\x\in \mathrm{C}\text{, }&y=11\text{ and }H_{11}=0\end{matrix}\right.
Solve for H_11
\left\{\begin{matrix}H_{11}=-\frac{6\left(y-11\right)}{x}\text{, }&x\neq 0\\H_{11}\in \mathrm{R}\text{, }&y=11\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{6\left(y-11\right)}{H_{11}}\text{, }&H_{11}\neq 0\\x\in \mathrm{R}\text{, }&y=11\text{ and }H_{11}=0\end{matrix}\right.
Graph
Share
Copied to clipboard
H_{11}x=66-6y
Subtract 6y from both sides.
xH_{11}=66-6y
The equation is in standard form.
\frac{xH_{11}}{x}=\frac{66-6y}{x}
Divide both sides by x.
H_{11}=\frac{66-6y}{x}
Dividing by x undoes the multiplication by x.
H_{11}=\frac{6\left(11-y\right)}{x}
Divide 66-6y by x.
H_{11}x=66-6y
Subtract 6y from both sides.
\frac{H_{11}x}{H_{11}}=\frac{66-6y}{H_{11}}
Divide both sides by H_{11}.
x=\frac{66-6y}{H_{11}}
Dividing by H_{11} undoes the multiplication by H_{11}.
x=\frac{6\left(11-y\right)}{H_{11}}
Divide 66-6y by H_{11}.
H_{11}x=66-6y
Subtract 6y from both sides.
xH_{11}=66-6y
The equation is in standard form.
\frac{xH_{11}}{x}=\frac{66-6y}{x}
Divide both sides by x.
H_{11}=\frac{66-6y}{x}
Dividing by x undoes the multiplication by x.
H_{11}=\frac{6\left(11-y\right)}{x}
Divide 66-6y by x.
H_{11}x=66-6y
Subtract 6y from both sides.
\frac{H_{11}x}{H_{11}}=\frac{66-6y}{H_{11}}
Divide both sides by H_{11}.
x=\frac{66-6y}{H_{11}}
Dividing by H_{11} undoes the multiplication by H_{11}.
x=\frac{6\left(11-y\right)}{H_{11}}
Divide 66-6y by H_{11}.
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}