x + 9 x - 9 x + 9 = 7 What is the solution to the given equation?

Question

Accepted Answer

Choice C is correct. Since the left-hand side of the given equation has a factor of x + 9 in both the numerator and the denominator, the solution to the given equation can be found by solving the equation x - 9 = 7 . Adding 9 to both sides of this equation yields x = 16 . Substituting 16 for x in the given equation yields 16 + 9 16 - 9 16 + 9 = 7 , or 7 = 7 . Therefore, the solution to the given equation is 16 . Choice A is incorrect. Substituting 7 for x in the given equation yields 7 + 9 7 - 9 7 + 9 = 7 , or - 2 = 7 , which is false. Choice B is incorrect. Substituting 9 for x in the given equation yields 9 + 9 9 - 9 9 + 9 = 7 , or 0 = 7 , which is false. Choice D is incorrect. Substituting 63 for x in the given equation yields 63 + 9 63 - 9 63 + 9 = 7 , or 54 = 7 , which is false.

Question x-9-x-