College

What is the solution to this equation?

[tex]x - 16 = 9[/tex]

A. [tex]x = -25[/tex]
B. [tex]x = 25[/tex]
C. [tex]x = -7[/tex]
D. [tex]x = 7[/tex]

Answer :

To solve the equation [tex]\( x - 16 = 9 \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here's how you can do it step-by-step:

1. Identify the operation: The equation is [tex]\( x - 16 = 9 \)[/tex]. The operation involving [tex]\( x \)[/tex] is subtraction (subtracting 16).

2. Inverse the operation: To isolate [tex]\( x \)[/tex], we need to do the opposite (inverse) operation. Since 16 is being subtracted, we will add 16 to both sides of the equation.

3. Add 16:
[tex]\[
x - 16 + 16 = 9 + 16
\][/tex]

4. Simplify:
[tex]\[
x = 25
\][/tex]

So, the solution to the equation [tex]\( x - 16 = 9 \)[/tex] is [tex]\( x = 25 \)[/tex].

Thus, the correct answer is B. [tex]\( x = 25 \)[/tex].