Solve for x
x=-\frac{5y}{12}-\frac{1}{2}
Solve for y
y=\frac{-12x-6}{5}
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12x+6=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
12x=-5y-6
Subtract 6 from both sides.
\frac{12x}{12}=\frac{-5y-6}{12}
Divide both sides by 12.
x=\frac{-5y-6}{12}
Dividing by 12 undoes the multiplication by 12.
x=-\frac{5y}{12}-\frac{1}{2}
Divide -5y-6 by 12.
5y+6=-12x
Subtract 12x from both sides. Anything subtracted from zero gives its negation.
5y=-12x-6
Subtract 6 from both sides.
\frac{5y}{5}=\frac{-12x-6}{5}
Divide both sides by 5.
y=\frac{-12x-6}{5}
Dividing by 5 undoes the multiplication by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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
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Limits
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