Question

The equation 2(4x + 1) = 4(2x + 5) has no solutions. Which of the following best explains why?

Answer 1

Answer:

See below

Step-by-step explanation:

$2(4x + 1) = 4(2x + 5)$

$8x + 2 =8x + 20$

$\nexists x \in \mathbb{R} \text{ That makes the equality true}$

The equation has no solution because no matter what the value we plug for $x$ in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.