+118613 （x − 1/y）/ （x/y） = x（y-1）/x
\(\frac{（x − 1/y）}{ （x/y）} =\frac{ x（y-1）}{x}\\ Note: x\ne0 \qquad y\ne 0\\ \frac{xy − 1}{y}\div\frac{x}{y} =\frac{ x（y-1）}{x}\\ \frac{xy − 1}{y}\times \frac{y}{x} =\frac{ x（y-1）}{x}\\ \frac{xy − 1}{1}\times \frac{1}{x} =\frac{ 1（y-1）}{1}\\ \frac{xy − 1}{x} =y-1\\ xy − 1=xy-x\\ -1=-x\\ x=1\\ \mbox{So this is the line x=1 except it has a 'hole' at y=0} \)
That was interesting :)
+118613 （x − 1/y）/ （x/y） = x（y-1）/x
\(\frac{（x − 1/y）}{ （x/y）} =\frac{ x（y-1）}{x}\\ Note: x\ne0 \qquad y\ne 0\\ \frac{xy − 1}{y}\div\frac{x}{y} =\frac{ x（y-1）}{x}\\ \frac{xy − 1}{y}\times \frac{y}{x} =\frac{ x（y-1）}{x}\\ \frac{xy − 1}{1}\times \frac{1}{x} =\frac{ 1（y-1）}{1}\\ \frac{xy − 1}{x} =y-1\\ xy − 1=xy-x\\ -1=-x\\ x=1\\ \mbox{So this is the line x=1 except it has a 'hole' at y=0} \)
That was interesting :)
