Question
Solve the following system for $x$ and $y$ in terms of $a$ and $b$ where $a b \neq-1:$$$\left\{\begin{array}{l}\frac{x+y-1}{x-y+1}=a \\\frac{y-x+1}{x-y+1}=a b\end{array}\right.$$
Step 1
Step 1: Divide the first equation by the second equation, we get \[\frac{\frac{x+y-1}{x-y+1}}{\frac{y-x+1}{x-y+1}} = \frac{a}{ab}\] which simplifies to \[\frac{x+y-1}{y-x+1} = \frac{1}{b}\] Show more…
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