Problem

(12) Which system of equations would have infinite solutions?
(A)
\( y=2 x+6 \)
\( 2 y=4 x+12 \)
(B) \( y=2 x+6 \) \( y=2 x+3 \)
(C)
\[
\begin{array}{c}
y=2 x+6 \\
y=-2 x+6
\end{array}
\]
(D)
\[
\begin{array}{c}
y=\frac{1}{2} x+6 \\
2 y=2 x+6
\end{array}
\]
(c) 2019 The Math Cate

Answer

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Answer

System A: Same equation. Infinite solutions.

Steps

Step 1 :\( 2y=4x+12 \Rightarrow y=2x+6 \)

Step 2 :y=2x+6

Step 3 :System A: Same equation. Infinite solutions.

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