Question

Tell whether the equation has one, zero, or infinitely many solutions,8(x - 8) + 33 = 8x - 31This equation has (select)

Answer 1

Let's use the distributive property on the left-hand side to expand and then simplify the whole equation. The process is shown below:

`\begin{gathered} 8(x-8)+33=8x-31 \\ 8x-64+33=8x-31 \\ 8x-31=8x-31 \end{gathered}`

As you can see, they are basically the same for both sides!

Hence, no matter what value(s) you put in for x, it will ALWAYS be true!

Thus, this equation has infinite many solutions.

Correct Answer:

Infinitely many solutions