Solve for x
x=-\frac{3y+2}{2y+1}
y\neq -\frac{1}{2}
Solve for y
y=-\frac{x+2}{2x+3}
x\neq -\frac{3}{2}
Graph
Share
Copied to clipboard
2xy+x+2=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
2xy+x=-3y-2
Subtract 2 from both sides.
\left(2y+1\right)x=-3y-2
Combine all terms containing x.
\frac{\left(2y+1\right)x}{2y+1}=\frac{-3y-2}{2y+1}
Divide both sides by 2y+1.
x=\frac{-3y-2}{2y+1}
Dividing by 2y+1 undoes the multiplication by 2y+1.
x=-\frac{3y+2}{2y+1}
Divide -3y-2 by 2y+1.
2xy+3y+2=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
2xy+3y=-x-2
Subtract 2 from both sides.
\left(2x+3\right)y=-x-2
Combine all terms containing y.
\frac{\left(2x+3\right)y}{2x+3}=\frac{-x-2}{2x+3}
Divide both sides by 2x+3.
y=\frac{-x-2}{2x+3}
Dividing by 2x+3 undoes the multiplication by 2x+3.
y=-\frac{x+2}{2x+3}
Divide -x-2 by 2x+3.
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}