Solve for x
x=3y
Solve for y
y=\frac{x}{3}
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x+4y-2x=y
Subtract 2x from both sides.
-x+4y=y
Combine x and -2x to get -x.
-x=y-4y
Subtract 4y from both sides.
-x=-3y
Combine y and -4y to get -3y.
\frac{-x}{-1}=-\frac{3y}{-1}
Divide both sides by -1.
x=-\frac{3y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=3y
Divide -3y by -1.
x+4y-y=2x
Subtract y from both sides.
x+3y=2x
Combine 4y and -y to get 3y.
3y=2x-x
Subtract x from both sides.
3y=x
Combine 2x and -x to get x.
\frac{3y}{3}=\frac{x}{3}
Divide both sides by 3.
y=\frac{x}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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{ 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}