Solve for x
x=-\frac{2}{3-y}
y\neq 3
Solve for y
y=3+\frac{2}{x}
x\neq 0
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3x+2=yx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
3x+2-yx=0
Subtract yx from both sides.
3x-yx=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
\left(3-y\right)x=-2
Combine all terms containing x.
\frac{\left(3-y\right)x}{3-y}=-\frac{2}{3-y}
Divide both sides by 3-y.
x=-\frac{2}{3-y}
Dividing by 3-y undoes the multiplication by 3-y.
x=-\frac{2}{3-y}\text{, }x\neq 0
Variable x cannot be equal to 0.
3x+2=yx
Multiply both sides of the equation by x.
yx=3x+2
Swap sides so that all variable terms are on the left hand side.
xy=3x+2
The equation is in standard form.
\frac{xy}{x}=\frac{3x+2}{x}
Divide both sides by x.
y=\frac{3x+2}{x}
Dividing by x undoes the multiplication by x.
y=3+\frac{2}{x}
Divide 3x+2 by x.
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}