Solve for x
x=\frac{10y+z}{2}
Solve for y
y=\frac{x}{5}-\frac{z}{10}
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2x-10y=z
Swap sides so that all variable terms are on the left hand side.
2x=z+10y
Add 10y to both sides.
2x=10y+z
The equation is in standard form.
\frac{2x}{2}=\frac{10y+z}{2}
Divide both sides by 2.
x=\frac{10y+z}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{z}{2}+5y
Divide z+10y by 2.
2x-10y=z
Swap sides so that all variable terms are on the left hand side.
-10y=z-2x
Subtract 2x from both sides.
\frac{-10y}{-10}=\frac{z-2x}{-10}
Divide both sides by -10.
y=\frac{z-2x}{-10}
Dividing by -10 undoes the multiplication by -10.
y=\frac{x}{5}-\frac{z}{10}
Divide z-2x by -10.
Examples
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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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