Sure! Let's verify that [tex]\( x = 8 \)[/tex] is the solution to the equation [tex]\(\frac{1}{2} x + 7 = 11\)[/tex] by substituting [tex]\( x = 8 \)[/tex] into the equation and checking if both sides of the equation are equal.
1. Start with the given equation:
[tex]\[
\frac{1}{2} x + 7 = 11
\][/tex]
2. Substitute [tex]\( x = 8 \)[/tex] into the equation:
[tex]\[
\frac{1}{2} \cdot 8 + 7
\][/tex]
3. Calculate [tex]\(\frac{1}{2} \cdot 8\)[/tex]:
[tex]\[
\frac{1}{2} \cdot 8 = 4
\][/tex]
4. Add 7 to 4:
[tex]\[
4 + 7 = 11
\][/tex]
5. Compare the left side with the right side of the equation:
[tex]\[
11 = 11
\][/tex]
Since both sides of the equation are equal when [tex]\( x = 8 \)[/tex], we have verified that [tex]\( x = 8 \)[/tex] is indeed the solution to the equation [tex]\(\frac{1}{2} x + 7 = 11\)[/tex].
