Solve for x
x=\frac{y}{2}
Solve for y
y=2x
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y+xy-x\left(2+y\right)=0
Use the distributive property to multiply 1+x by y.
y+xy-\left(2x+xy\right)=0
Use the distributive property to multiply x by 2+y.
y+xy-2x-xy=0
To find the opposite of 2x+xy, find the opposite of each term.
y-2x=0
Combine xy and -xy to get 0.
-2x=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\frac{-2x}{-2}=-\frac{y}{-2}
Divide both sides by -2.
x=-\frac{y}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{y}{2}
Divide -y by -2.
y+xy-x\left(2+y\right)=0
Use the distributive property to multiply 1+x by y.
y+xy-\left(2x+xy\right)=0
Use the distributive property to multiply x by 2+y.
y+xy-2x-xy=0
To find the opposite of 2x+xy, find the opposite of each term.
y-2x=0
Combine xy and -xy to get 0.
y=2x
Add 2x to both sides. Anything plus zero gives itself.
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}