question perform the operation and combine to one fraction. $\frac{5}{3 - x}+\frac{3x}{x - 3}$
question perform the operation and combine to one fraction. $\frac{5}{3 - x}+\frac{3x}{x - 3}$
Answer
Explanation:
Step1: Rewrite the first - fraction
Since $3 - x=-(x - 3)$, we can rewrite $\frac{5}{3 - x}$ as $-\frac{5}{x - 3}$. $-\frac{5}{x - 3}+\frac{3x}{x - 3}$
Step2: Combine the fractions
When the denominators of two fractions are the same, we add or subtract the numerators. Here, the common denominator is $x - 3$. $\frac{-5 + 3x}{x - 3}=\frac{3x-5}{x - 3}$
Answer:
$\frac{3x - 5}{x - 3}$