Solve for x
x=2y
Solve for y
y=\frac{x}{2}
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2x+3y-x=5y
Subtract x from both sides.
x+3y=5y
Combine 2x and -x to get x.
x=5y-3y
Subtract 3y from both sides.
x=2y
Combine 5y and -3y to get 2y.
2x+3y-5y=x
Subtract 5y from both sides.
2x-2y=x
Combine 3y and -5y to get -2y.
-2y=x-2x
Subtract 2x from both sides.
-2y=-x
Combine x and -2x to get -x.
\frac{-2y}{-2}=-\frac{x}{-2}
Divide both sides by -2.
y=-\frac{x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{x}{2}
Divide -x by -2.
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}