Solve for F (complex solution)
\left\{\begin{matrix}F=-\frac{2\left(y-50\right)}{x}\text{, }&x\neq 0\\F\in \mathrm{C}\text{, }&y=50\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{2\left(y-50\right)}{F}\text{, }&F\neq 0\\x\in \mathrm{C}\text{, }&y=50\text{ and }F=0\end{matrix}\right.
Solve for F
\left\{\begin{matrix}F=-\frac{2\left(y-50\right)}{x}\text{, }&x\neq 0\\F\in \mathrm{R}\text{, }&y=50\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{2\left(y-50\right)}{F}\text{, }&F\neq 0\\x\in \mathrm{R}\text{, }&y=50\text{ and }F=0\end{matrix}\right.
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Fx=0x-2y+100
Multiply 0 and 4 to get 0.
Fx=0-2y+100
Anything times zero gives zero.
Fx=100-2y
Add 0 and 100 to get 100.
xF=100-2y
The equation is in standard form.
\frac{xF}{x}=\frac{100-2y}{x}
Divide both sides by x.
F=\frac{100-2y}{x}
Dividing by x undoes the multiplication by x.
F=\frac{2\left(50-y\right)}{x}
Divide 100-2y by x.
Fx=0x-2y+100
Multiply 0 and 4 to get 0.
Fx=0-2y+100
Anything times zero gives zero.
Fx=100-2y
Add 0 and 100 to get 100.
\frac{Fx}{F}=\frac{100-2y}{F}
Divide both sides by F.
x=\frac{100-2y}{F}
Dividing by F undoes the multiplication by F.
x=\frac{2\left(50-y\right)}{F}
Divide 100-2y by F.
Fx=0x-2y+100
Multiply 0 and 4 to get 0.
Fx=0-2y+100
Anything times zero gives zero.
Fx=100-2y
Add 0 and 100 to get 100.
xF=100-2y
The equation is in standard form.
\frac{xF}{x}=\frac{100-2y}{x}
Divide both sides by x.
F=\frac{100-2y}{x}
Dividing by x undoes the multiplication by x.
F=\frac{2\left(50-y\right)}{x}
Divide 100-2y by x.
Fx=0x-2y+100
Multiply 0 and 4 to get 0.
Fx=0-2y+100
Anything times zero gives zero.
Fx=100-2y
Add 0 and 100 to get 100.
\frac{Fx}{F}=\frac{100-2y}{F}
Divide both sides by F.
x=\frac{100-2y}{F}
Dividing by F undoes the multiplication by F.
x=\frac{2\left(50-y\right)}{F}
Divide 100-2y by F.
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