Solve for A (complex solution)
\left\{\begin{matrix}A=-\frac{y-1}{x\lambda }\text{, }&\lambda \neq 0\text{ and }x\neq 0\\A\in \mathrm{C}\text{, }&\left(\lambda =0\text{ or }x=0\right)\text{ and }y=1\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{y-1}{A\lambda }\text{, }&\lambda \neq 0\text{ and }A\neq 0\\x\in \mathrm{C}\text{, }&\left(\lambda =0\text{ or }A=0\right)\text{ and }y=1\end{matrix}\right.
Solve for A
\left\{\begin{matrix}A=-\frac{y-1}{x\lambda }\text{, }&\lambda \neq 0\text{ and }x\neq 0\\A\in \mathrm{R}\text{, }&\left(\lambda =0\text{ or }x=0\right)\text{ and }y=1\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{y-1}{A\lambda }\text{, }&\lambda \neq 0\text{ and }A\neq 0\\x\in \mathrm{R}\text{, }&\left(\lambda =0\text{ or }A=0\right)\text{ and }y=1\end{matrix}\right.
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Ax\lambda =1-y
Subtract y from both sides.
x\lambda A=1-y
The equation is in standard form.
\frac{x\lambda A}{x\lambda }=\frac{1-y}{x\lambda }
Divide both sides by x\lambda .
A=\frac{1-y}{x\lambda }
Dividing by x\lambda undoes the multiplication by x\lambda .
Ax\lambda =1-y
Subtract y from both sides.
A\lambda x=1-y
The equation is in standard form.
\frac{A\lambda x}{A\lambda }=\frac{1-y}{A\lambda }
Divide both sides by A\lambda .
x=\frac{1-y}{A\lambda }
Dividing by A\lambda undoes the multiplication by A\lambda .
Ax\lambda =1-y
Subtract y from both sides.
x\lambda A=1-y
The equation is in standard form.
\frac{x\lambda A}{x\lambda }=\frac{1-y}{x\lambda }
Divide both sides by x\lambda .
A=\frac{1-y}{x\lambda }
Dividing by x\lambda undoes the multiplication by x\lambda .
Ax\lambda =1-y
Subtract y from both sides.
A\lambda x=1-y
The equation is in standard form.
\frac{A\lambda x}{A\lambda }=\frac{1-y}{A\lambda }
Divide both sides by A\lambda .
x=\frac{1-y}{A\lambda }
Dividing by A\lambda undoes the multiplication by A\lambda .
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