Add the rational expressions to find the sum: 5x+2+6x−3.(1 point)

Question

Responses

11x−1
Start Fraction 11 over x minus 1 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

−3x−6

Answer 1

To find the sum of the rational expressions \( \frac{5x + 2}{1} + \frac{6x - 3}{1} \), we'll first combine the numerators.

1. Combine like terms in the numerators: \[ (5x + 2) + (6x - 3) = 5x + 2 + 6x - 3 = 11x - 1 \]

2. Since both expressions have the same denominator (which is 1), the sum can be expressed as: \[ \frac{11x - 1}{1} = 11x - 1 \]

Therefore, the answer is:

11x−1 (or simply \( 11x - 1 \)).