Solve for x
x=-\frac{9y}{10}
Solve for y
y=-\frac{10x}{9}
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10x=-9y
Subtract 9y from both sides. Anything subtracted from zero gives its negation.
\frac{10x}{10}=-\frac{9y}{10}
Divide both sides by 10.
x=-\frac{9y}{10}
Dividing by 10 undoes the multiplication by 10.
9y=-10x
Subtract 10x from both sides. Anything subtracted from zero gives its negation.
\frac{9y}{9}=-\frac{10x}{9}
Divide both sides by 9.
y=-\frac{10x}{9}
Dividing by 9 undoes the multiplication by 9.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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