Final answer:
The sum of (2y)/(Y+5) and (10)/(Y+5) can be simplified to 2. The common denominator allows us to combine numerators and simplify the numerator by factoring out common elements.
Step-by-step explanation:
The given expressions are fractions with a common denomin1ator, (Y+5). This means we can combine these fractions by simply adding their numerators. So, (2y)/(Y+5) + (10)/(Y+5) turns into (2y+10)/(Y+5). To express that in simplest form, we need to factor where possible. The numerator, 2y+10, can be simplified by factoring out the common factor 2, which gives: 2(y+5)/(Y+5). Finally, we can cancel the (Y+5) term from the numerator and the denominator. The resulting expression is therefore 2 when Y ≠ -5 (as dividing by zero is undefined).
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