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