Solve for b (complex solution)
\left\{\begin{matrix}\\b=6\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&y=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}\\b=6\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&y=0\end{matrix}\right.
Solve for x (complex solution)
x\in \mathrm{C}
b=6\text{ or }y=0
Solve for x
x\in \mathrm{R}
b=6\text{ or }y=0
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9x+by=9x+6y
Combine 2x and 7x to get 9x.
by=9x+6y-9x
Subtract 9x from both sides.
by=6y
Combine 9x and -9x to get 0.
yb=6y
The equation is in standard form.
\frac{yb}{y}=\frac{6y}{y}
Divide both sides by y.
b=\frac{6y}{y}
Dividing by y undoes the multiplication by y.
b=6
Divide 6y by y.
9x+by=9x+6y
Combine 2x and 7x to get 9x.
by=9x+6y-9x
Subtract 9x from both sides.
by=6y
Combine 9x and -9x to get 0.
yb=6y
The equation is in standard form.
\frac{yb}{y}=\frac{6y}{y}
Divide both sides by y.
b=\frac{6y}{y}
Dividing by y undoes the multiplication by y.
b=6
Divide 6y by y.
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