Question 185632
{{{(y-7)/(y-9) - 2/(y-9)}}} Start with the given expression.



Since the fractions have equal denominators, we can combine the fractions.



{{{(y-7-2)/(y-9)}}} Subtract the fractions.



{{{(y-9)/(y-9)}}} Combine like terms.



{{{cross((y-9))/cross((y-9))}}} Cancel out the common terms.



{{{1}}} Simplify




So {{{(y-7)/(y-9) - 2/(y-9)}}} simplifies to {{{1}}}



In other words, {{{(y-7)/(y-9) - 2/(y-9)=1}}} where {{{y<>9}}}