Question

Which of the following best describes the solution to the equation below? 1 /2 ⁢ ( 8 ⁢ x − 9 ) = 4 ⁢ x + 8 A. infinite real solutions B. exactly one real solution, x = 2 1 4 C. exactly one real solution, x = 9 D. no real solutions

Answer 1

To solve the equation 1/2 * (8x - 9) = 4x + 8, we'll isolate x by first simplifying the left side:

1/2 * (8x - 9) = 4x + 8
4x - 9 = 2 * (4x + 8)
4x - 9 = 8x + 16
-4x = 25
x = -25/4

Since x is a real number, the equation has exactly one real solution: x = -25/4.

So, the answer is: B. exactly one real solution, x = -25/4.