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

Solution

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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Source: https://solvelyapp.com/problems/20923/

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