Solve for x
x=\frac{5y+z}{3}
Solve for y
y=\frac{3x-z}{5}
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3x=z+5y
Add 5y to both sides.
3x=5y+z
The equation is in standard form.
\frac{3x}{3}=\frac{5y+z}{3}
Divide both sides by 3.
x=\frac{5y+z}{3}
Dividing by 3 undoes the multiplication by 3.
-5y=z-3x
Subtract 3x from both sides.
\frac{-5y}{-5}=\frac{z-3x}{-5}
Divide both sides by -5.
y=\frac{z-3x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{3x-z}{5}
Divide z-3x by -5.
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.
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\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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