Solve for x
x=\frac{y+2}{2y+5}
y\neq -\frac{5}{2}
Solve for y
y=-\frac{5x-2}{2x-1}
x\neq \frac{1}{2}
Graph
Share
Copied to clipboard
5x+2xy-y=2
Use the distributive property to multiply x by 5+2y.
5x+2xy=2+y
Add y to both sides.
\left(5+2y\right)x=2+y
Combine all terms containing x.
\left(2y+5\right)x=y+2
The equation is in standard form.
\frac{\left(2y+5\right)x}{2y+5}=\frac{y+2}{2y+5}
Divide both sides by 5+2y.
x=\frac{y+2}{2y+5}
Dividing by 5+2y undoes the multiplication by 5+2y.
5x+2xy-y=2
Use the distributive property to multiply x by 5+2y.
2xy-y=2-5x
Subtract 5x from both sides.
\left(2x-1\right)y=2-5x
Combine all terms containing y.
\frac{\left(2x-1\right)y}{2x-1}=\frac{2-5x}{2x-1}
Divide both sides by 2x-1.
y=\frac{2-5x}{2x-1}
Dividing by 2x-1 undoes the multiplication by 2x-1.
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}