Solve for b (complex solution)
\left\{\begin{matrix}b=\frac{5x+9}{y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&x=-\frac{9}{5}\text{ and }y=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=\frac{5x+9}{y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&x=-\frac{9}{5}\text{ and }y=0\end{matrix}\right.
Solve for x
x=\frac{by-9}{5}
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yb=5x+9
The equation is in standard form.
\frac{yb}{y}=\frac{5x+9}{y}
Divide both sides by y.
b=\frac{5x+9}{y}
Dividing by y undoes the multiplication by y.
yb=5x+9
The equation is in standard form.
\frac{yb}{y}=\frac{5x+9}{y}
Divide both sides by y.
b=\frac{5x+9}{y}
Dividing by y undoes the multiplication by y.
5x+9=by
Swap sides so that all variable terms are on the left hand side.
5x=by-9
Subtract 9 from both sides.
\frac{5x}{5}=\frac{by-9}{5}
Divide both sides by 5.
x=\frac{by-9}{5}
Dividing by 5 undoes the multiplication 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}