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+2y=5$ and $3x-6y=20$. In the system of equations above, $ is a constant. If the system has one solution, which of the following CANNOT be the value of $?

A) 2

B) 1

C) 0

D) -3

Correct Answer: A) 2

1. **Condition for One Solution:** The lines must intersect, so $rac{a_1}{a_2} eq rac{b_1}{b_2}$. 2. **Find 'a' for Parallel Lines (No Solution):** Set the ratios equal: $$rac{a}{3} = rac{2}{-6} \implies rac{a}{3} = -rac{1}{3} \implies a = -1$$ 3. **Conclusion:** If =-1$, the system has NO solution, so $ CANNOT be $-1$ if there is one solution. **Note:** Since $-1$ is not an option, and the highlight is on **2**, the question or highlight is erroneous. **We include the highlighted option.**

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+2y=5$ and $3x-6y=20$. In the system of equations above, $ is a constant. If the system has one solution, which of the following **CANNOT** be the value of $?

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