College

Is [tex]$x=8$[/tex] a solution to the equation [tex]$x+7=15$[/tex]?

A. No, because [tex]$8+7=15$[/tex] is true.
B. No, because [tex]$8+7=15$[/tex] is not true.
C. Yes, because [tex]$8+7=15$[/tex] is true.
D. Yes, because [tex]$8+7=15$[/tex] is not true.

Answer :

To determine if [tex]\( x = 8 \)[/tex] is a solution to the equation [tex]\( x + 7 = 15 \)[/tex], let's follow these steps:

1. Substitute [tex]\( x = 8 \)[/tex] into the equation: Replace [tex]\( x \)[/tex] with 8 in the equation. So, you will have:
[tex]\[
8 + 7
\][/tex]

2. Calculate the left side of the equation: Add 8 and 7 together:
[tex]\[
8 + 7 = 15
\][/tex]

3. Compare the result to the right side of the equation: The result from step 2 is 15, which matches the right side of the original equation [tex]\( x + 7 = 15 \)[/tex].

Since 15 equals 15, the statement is true. Therefore, [tex]\( x = 8 \)[/tex] is indeed a solution to the equation [tex]\( x + 7 = 15 \)[/tex].

The correct choice is:
- C. Yes, because [tex]\( 8 + 7 = 15 \)[/tex] is true.