Question

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answer 1

Answer:

The answer is B : No Solution

Answer 2

Answer:

no solution

Step-by-step explanation:

x²-4 is (x+2)(x-2), which is your least common multiplier

So first, eliminate the denominators by multiplying all terms by (x+2)(x-2)

(x+2)(x-2)/(x-2) + (6x)(x+2)(x-2)/(x+2)(x-2) = 3(x+2)(x-2)/(x+2)

Then simplify

(x+2) + (6x) = 3(x-2)

combine the variables, and expand the right side of the equation

7x + 2 = 3x - 6

Subtract 2 from both sides

7x = 3x - 8

Substract 3x from both sides

4x = -8

Divide both sides by 4

x = -2

Although x = -2, the final answer is undefined.

Because if you plug x = -2 back into the equation, you would get...

for example, 3/(x+2) will become 3/(-2+2), which is 1/0

it is not possible to divide by 0

anything divided by 0 is undefined, therefore this equation has no solution.