Solve for f
\left\{\begin{matrix}f=-\frac{y-z}{x}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&z=y\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{y-z}{f}\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&z=y\text{ and }f=0\end{matrix}\right.
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y+fx=z
Swap sides so that all variable terms are on the left hand side.
fx=z-y
Subtract y from both sides.
xf=z-y
The equation is in standard form.
\frac{xf}{x}=\frac{z-y}{x}
Divide both sides by x.
f=\frac{z-y}{x}
Dividing by x undoes the multiplication by x.
y+fx=z
Swap sides so that all variable terms are on the left hand side.
fx=z-y
Subtract y from both sides.
\frac{fx}{f}=\frac{z-y}{f}
Divide both sides by f.
x=\frac{z-y}{f}
Dividing by f undoes the multiplication by f.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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