Question

1. carlos says the answer to the equation $-9 = x + 3$ is $x = -12$. which of the following is true

a) carlos is wrong because you can’t solve equations when $x$ is on the right side
b) carlos is wrong because $-9 - 3 = -6$
c) carlos is right because $-9 - 3 = -12$
d) carlos is right because $-9 + 3 = -12$

Explanation:

Step1: Solve the equation

To solve \( -9 = x + 3 \), we subtract 3 from both sides. Using the subtraction property of equality, we get \( -9 - 3 = x \). Calculating \( -9 - 3 \), we have \( -12 = x \), so Carlos's solution \( x = -12 \) is correct.

Step2: Analyze each option

• Option A: Wrong, because we can solve equations with \( x \) on the right side (e.g., by manipulating the equation).
• Option B: Wrong, the calculation here is incorrect as \( -9 - 3=-12\), not \(-6\), and it misinterprets the solution.
• Option C: Correct, because solving \( -9 = x + 3 \) gives \( x=-9 - 3=-12\), which matches Carlos's answer.
• Option D: Wrong, the operation here is incorrect; we subtract 3, not add 3, and \( -9 + 3=-6

eq -12\).

Answer:

C. Carlos is right because \( -9 - 3 = -12 \)