Solve for x
x=-\frac{2y}{21\left(1-y\right)}
y\neq 1
Solve for y
y=-\frac{21x}{2-21x}
x\neq \frac{2}{21}
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21x+2y-21xy=0
Subtract 21xy from both sides.
21x-21xy=-2y
Subtract 2y from both sides. Anything subtracted from zero gives its negation.
\left(21-21y\right)x=-2y
Combine all terms containing x.
\frac{\left(21-21y\right)x}{21-21y}=-\frac{2y}{21-21y}
Divide both sides by -21y+21.
x=-\frac{2y}{21-21y}
Dividing by -21y+21 undoes the multiplication by -21y+21.
x=-\frac{2y}{21\left(1-y\right)}
Divide -2y by -21y+21.
21x+2y-21xy=0
Subtract 21xy from both sides.
2y-21xy=-21x
Subtract 21x from both sides. Anything subtracted from zero gives its negation.
\left(2-21x\right)y=-21x
Combine all terms containing y.
\frac{\left(2-21x\right)y}{2-21x}=-\frac{21x}{2-21x}
Divide both sides by 2-21x.
y=-\frac{21x}{2-21x}
Dividing by 2-21x undoes the multiplication by 2-21x.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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