Solve for x
x=\frac{-8y-3z}{7}
Solve for y
y=\frac{-7x-3z}{8}
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7x+3z=-8y
Subtract 8y from both sides. Anything subtracted from zero gives its negation.
7x=-8y-3z
Subtract 3z from both sides.
\frac{7x}{7}=\frac{-8y-3z}{7}
Divide both sides by 7.
x=\frac{-8y-3z}{7}
Dividing by 7 undoes the multiplication by 7.
8y+3z=-7x
Subtract 7x from both sides. Anything subtracted from zero gives its negation.
8y=-7x-3z
Subtract 3z from both sides.
\frac{8y}{8}=\frac{-7x-3z}{8}
Divide both sides by 8.
y=\frac{-7x-3z}{8}
Dividing by 8 undoes the multiplication by 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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