Solve for f (complex solution)
\left\{\begin{matrix}f=-\frac{63-y}{x-56}\text{, }&x\neq 56\\f\in \mathrm{C}\text{, }&y=63\text{ and }x=56\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{y+56f-63}{f}\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&y=63\text{ and }f=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=-\frac{63-y}{x-56}\text{, }&x\neq 56\\f\in \mathrm{R}\text{, }&y=63\text{ and }x=56\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{y+56f-63}{f}\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=63\text{ and }f=0\end{matrix}\right.
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y=fx-56f+63
Use the distributive property to multiply f by x-56.
fx-56f+63=y
Swap sides so that all variable terms are on the left hand side.
fx-56f=y-63
Subtract 63 from both sides.
\left(x-56\right)f=y-63
Combine all terms containing f.
\frac{\left(x-56\right)f}{x-56}=\frac{y-63}{x-56}
Divide both sides by x-56.
f=\frac{y-63}{x-56}
Dividing by x-56 undoes the multiplication by x-56.
y=fx-56f+63
Use the distributive property to multiply f by x-56.
fx-56f+63=y
Swap sides so that all variable terms are on the left hand side.
fx+63=y+56f
Add 56f to both sides.
fx=y+56f-63
Subtract 63 from both sides.
\frac{fx}{f}=\frac{y+56f-63}{f}
Divide both sides by f.
x=\frac{y+56f-63}{f}
Dividing by f undoes the multiplication by f.
y=fx-56f+63
Use the distributive property to multiply f by x-56.
fx-56f+63=y
Swap sides so that all variable terms are on the left hand side.
fx-56f=y-63
Subtract 63 from both sides.
\left(x-56\right)f=y-63
Combine all terms containing f.
\frac{\left(x-56\right)f}{x-56}=\frac{y-63}{x-56}
Divide both sides by x-56.
f=\frac{y-63}{x-56}
Dividing by x-56 undoes the multiplication by x-56.
y=fx-56f+63
Use the distributive property to multiply f by x-56.
fx-56f+63=y
Swap sides so that all variable terms are on the left hand side.
fx+63=y+56f
Add 56f to both sides.
fx=y+56f-63
Subtract 63 from both sides.
\frac{fx}{f}=\frac{y+56f-63}{f}
Divide both sides by f.
x=\frac{y+56f-63}{f}
Dividing by f undoes the multiplication by f.
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