Solve for p (complex solution)
\left\{\begin{matrix}p=\frac{6y+q-7}{y}\text{, }&y\neq 0\\p\in \mathrm{C}\text{, }&y=0\text{ and }q=7\end{matrix}\right.
Solve for p
\left\{\begin{matrix}p=\frac{6y+q-7}{y}\text{, }&y\neq 0\\p\in \mathrm{R}\text{, }&y=0\text{ and }q=7\end{matrix}\right.
Solve for q
q=py-6y+7
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py=6y+q-7
Subtract 7 from both sides.
yp=6y+q-7
The equation is in standard form.
\frac{yp}{y}=\frac{6y+q-7}{y}
Divide both sides by y.
p=\frac{6y+q-7}{y}
Dividing by y undoes the multiplication by y.
py=6y+q-7
Subtract 7 from both sides.
yp=6y+q-7
The equation is in standard form.
\frac{yp}{y}=\frac{6y+q-7}{y}
Divide both sides by y.
p=\frac{6y+q-7}{y}
Dividing by y undoes the multiplication by y.
6y+q=py+7
Swap sides so that all variable terms are on the left hand side.
q=py+7-6y
Subtract 6y from both sides.
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