Question

Add the rational expressions and simplify if possible.
2W + 7/ W-5 + 2W + 6 /W-5

Answer 1

Answer: (4W + 13) / (W - 5)

Explanation:

Step 1: Find a common denominator for both fractions. In this case, the common denominator is (W - 5).

Step 2: Write each fraction with the common denominator:

(2W + 7) / (W - 5) = (2W + 7) / (W - 5)

(2W + 6) / (W - 5) = (2W + 6) / (W - 5)

Step 3: Add the fractions:

(2W + 7) / (W - 5) + (2W + 6) / (W - 5) = [(2W + 7) + (2W + 6)] / (W - 5)

Simplify the numerators:

(2W + 7 + 2W + 6) / (W - 5) = (4W + 13) / (W - 5)