Solve for A
A=\frac{1}{xy}
x\neq 0\text{ and }y\neq 0
Solve for x
x=\frac{1}{Ay}
y\neq 0\text{ and }A\neq 0
Graph
Share
Copied to clipboard
Ayx=1
Multiply both sides of the equation by x.
xyA=1
The equation is in standard form.
\frac{xyA}{xy}=\frac{1}{xy}
Divide both sides by yx.
A=\frac{1}{xy}
Dividing by yx undoes the multiplication by yx.
Ayx=1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\frac{Ayx}{Ay}=\frac{1}{Ay}
Divide both sides by Ay.
x=\frac{1}{Ay}
Dividing by Ay undoes the multiplication by Ay.
x=\frac{1}{Ay}\text{, }x\neq 0
Variable x cannot be equal to 0.
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}