Add the rational expressions to find the sum: 5x+2+6x−3

Question

.(1 point)
Responses

−3x−6
Start Fraction negative 3 over x minus 6 End Fraction

11x+27x2−x−6
Start Fraction 11 x plus 27 over x squared minus x minus 6 End Fraction

11x−3x2−x−6
Start Fraction 11 x minus 3 over x squared minus x minus 6 End Fraction

11x−1

Answer 1

To find the sum of the rational expressions \( \frac{5x + 2}{1} + \frac{6x - 3}{1} \), we can combine the numerators since they have the same denominator.

1. Combine the numerators:

\[ (5x + 2) + (6x - 3) = 5x + 2 + 6x - 3 = 11x - 1 \]

2. Since both expressions have a denominator of 1, the result can be written as:

\[ \frac{11x - 1}{1} = 11x - 1 \]

Thus, the correct answer is:

11x−1