Question
Add the rational expressions to find the sum: 5x+2+6x−3.(1 point)
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
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
Answers
GPT-4o mini
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 \( 11x - 1 \)).
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 \( 11x - 1 \)).