Solve for x
x=-\frac{3y}{2}-2z
Solve for y
y=\frac{-2x-4z}{3}
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2x+4z=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
2x=-3y-4z
Subtract 4z from both sides.
\frac{2x}{2}=\frac{-3y-4z}{2}
Divide both sides by 2.
x=\frac{-3y-4z}{2}
Dividing by 2 undoes the multiplication by 2.
x=-\frac{3y}{2}-2z
Divide -3y-4z by 2.
3y+4z=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
3y=-2x-4z
Subtract 4z from both sides.
\frac{3y}{3}=\frac{-2x-4z}{3}
Divide both sides by 3.
y=\frac{-2x-4z}{3}
Dividing by 3 undoes the multiplication by 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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