Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

Question 1 Report

Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)

Answer Details
To simplify \(\frac{5}{x-y}-\frac{4}{y-x}\), we first notice that \(y-x=-(x-y)\). Thus, we can rewrite the expression as \(\frac{5}{x-y}+\frac{4}{x-y}\). Now, we can combine the fractions by finding a common denominator, which is \(x-y\). Thus, we have \[\frac{5}{x-y}+\frac{4}{x-y}=\frac{5+4}{x-y}=\frac{9}{x-y}.\] Therefore, the simplified expression is \(\boxed{\frac{9}{x-y}}\).
Read lesson note on Algebraic Fractions (WAEC)
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