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