Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{y}{\beta +1}\text{, }&\beta \neq -1\\x\in \mathrm{C}\text{, }&y=0\text{ and }\beta =-1\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{y}{\beta +1}\text{, }&\beta \neq -1\\x\in \mathrm{R}\text{, }&y=0\text{ and }\beta =-1\end{matrix}\right.
Solve for y
y=x\left(\beta +1\right)
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x+\beta x=y
Swap sides so that all variable terms are on the left hand side.
\left(1+\beta \right)x=y
Combine all terms containing x.
\left(\beta +1\right)x=y
The equation is in standard form.
\frac{\left(\beta +1\right)x}{\beta +1}=\frac{y}{\beta +1}
Divide both sides by 1+\beta .
x=\frac{y}{\beta +1}
Dividing by 1+\beta undoes the multiplication by 1+\beta .
x+\beta x=y
Swap sides so that all variable terms are on the left hand side.
\left(1+\beta \right)x=y
Combine all terms containing x.
\left(\beta +1\right)x=y
The equation is in standard form.
\frac{\left(\beta +1\right)x}{\beta +1}=\frac{y}{\beta +1}
Divide both sides by 1+\beta .
x=\frac{y}{\beta +1}
Dividing by 1+\beta undoes the multiplication by 1+\beta .
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