Question

Find the solution for the rational equation 3/(x + 1) = 2/(x - 3).

a) x = -3
b) x = -1
c) x = 1
d) x = 3

Answer 1

After solving the rational equation 3/(x + 1) = 2/(x - 3) by finding a common denominator and simplifying, none of the provided options (x = -3, x = -1, x = 1, x = 3) is the correct solution. The answer is actually x = 11.

Step-by-step explanation:

To find the solution of the rational equation 3/(x + 1) = 2/(x - 3), we need to find a common denominator and solve for x. First, multiply both sides by the common denominator, which is (x + 1)(x - 3). This gives us:

3(x - 3) = 2(x + 1)

Expanding both sides:

3x - 9 = 2x + 2

Rearrange to bring like terms to one side:

3x - 2x = 2 + 9

Solve for x:

x = 11

None of the given options match the correct answer; hence, it seems there's an error in the options provided.