Subjects algebra

Solution Check 067A6D

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Question: Decide whether the given number is a solution of the given equation. Is $-3$ a solution of $x + 16 = 19$? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. No, because replacing $x$ with $-3$ and simplifying on the left side results in $[\quad]$, which does not equal the right side. B. Yes, because replacing $x$ with $-3$ and simplifying on the left side results in $[\quad]$, which equals the right side.
1. **State the problem:** We need to check if $-3$ is a solution to the equation $$x + 16 = 19$$ by substituting $x$ with $-3$ and verifying if both sides are equal. 2. **Substitute $x = -3$ into the left side:** $$-3 + 16$$ 3. **Simplify the left side:** $$-3 + 16 = 13$$ 4. **Compare the simplified left side to the right side:** The right side is $19$, and the left side after substitution is $13$. 5. **Conclusion:** Since $13 \neq 19$, the left side does not equal the right side after substitution. Therefore, $-3$ is **not** a solution to the equation. **Answer:** A. No, because replacing $x$ with $-3$ and simplifying on the left side results in $13$, which does not equal the right side.