Solve for x
x=4y-2z+\frac{1}{3}
Solve for y
y=\frac{x}{4}+\frac{z}{2}-\frac{1}{12}
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3x+6z=1+12y
Add 12y to both sides.
3x=1+12y-6z
Subtract 6z from both sides.
3x=12y-6z+1
The equation is in standard form.
\frac{3x}{3}=\frac{12y-6z+1}{3}
Divide both sides by 3.
x=\frac{12y-6z+1}{3}
Dividing by 3 undoes the multiplication by 3.
x=4y-2z+\frac{1}{3}
Divide 1+12y-6z by 3.
-12y+6z=1-3x
Subtract 3x from both sides.
-12y=1-3x-6z
Subtract 6z from both sides.
-12y=1-6z-3x
The equation is in standard form.
\frac{-12y}{-12}=\frac{1-6z-3x}{-12}
Divide both sides by -12.
y=\frac{1-6z-3x}{-12}
Dividing by -12 undoes the multiplication by -12.
y=\frac{x}{4}+\frac{z}{2}-\frac{1}{12}
Divide 1-3x-6z by -12.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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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