Question

Les solved an equation, and his work is shown below.

2x + 8 + 3x... =... 2 + 5x + 6...
5x + 8... = ... 5x + 8...
5x + 8 - 5x... = ... 5x + 8 - 5x...
8... = 8...

Which of the following is a true statement about the solution to the equation?
A. There is no solution to the equation.
B. There is an infinite number of solutions to the equation.
C. The solution to the equation is x.
D. There are two solutions to the equation, x and 1.

Answer 1

The given equation has an infinite number of solutions.

Step-by-step explanation:

The given equation is:

2x + 8 + 3x = 2 + 5x + 6

Simplifying both sides of the equation, we get:

5x + 8 = 5x + 8

As we can see, the equation on both sides is the same, which means no matter what value we substitute for x, the equation will always be true.

Therefore, the correct answer is B. There is an infinite number of solutions to the equation.