Sure, let's review the process of determining if a given value is a solution to an equation.
Step-by-Step Solution:
1. Given Equation: [tex]\(2x + 3 = 7\)[/tex]
2. Proposed Solution: [tex]\(x = 4\)[/tex]
To verify if [tex]\(x = 4\)[/tex] is a solution to the equation, follow these steps:
1. Substitute [tex]\(x\)[/tex] with 4 in the equation:
[tex]\[
2(4) + 3
\][/tex]
2. Calculate the left side of the equation:
[tex]\[
2(4) + 3 = 8 + 3 = 11
\][/tex]
3. Analyze both sides of the equation:
- Left side: [tex]\(11\)[/tex]
- Right side: [tex]\(7\)[/tex]
4. Determine if the left side equals the right side:
[tex]\[
11 \neq 7
\][/tex]
Since the left side [tex]\(11\)[/tex] is not equal to the right side [tex]\(7\)[/tex], the value [tex]\(x = 4\)[/tex] does not satisfy the equation [tex]\(2x + 3 = 7\)[/tex].
Conclusion:
[tex]\[
\boxed{4} \text{ is not a solution of the equation } 2x + 3 = 7.
\][/tex]
This step-by-step verification shows that [tex]\(4\)[/tex] does not make the equation true, and thus it is not a solution to the given equation.
