Solve for x
x=-9y
Solve for y
y=-\frac{x}{9}
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x=9y+2x
Combine 5y and 4y to get 9y.
x-2x=9y
Subtract 2x from both sides.
-x=9y
Combine x and -2x to get -x.
\frac{-x}{-1}=\frac{9y}{-1}
Divide both sides by -1.
x=\frac{9y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-9y
Divide 9y by -1.
x=9y+2x
Combine 5y and 4y to get 9y.
9y+2x=x
Swap sides so that all variable terms are on the left hand side.
9y=x-2x
Subtract 2x from both sides.
9y=-x
Combine x and -2x to get -x.
\frac{9y}{9}=-\frac{x}{9}
Divide both sides by 9.
y=-\frac{x}{9}
Dividing by 9 undoes the multiplication by 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}