• Choice E

    It is given that

    $$ y=2x+6 \tag{1} $$

    $$ 6x+12=3y \tag{2} $$

    Step 1: Plug (1) into (2)

    $$ 6x+12=3y =3(2x+6)\tag{3} $$

    Step 2: Simplify (3)

    $$ 6x+12=6x+18 $$

    $$ => 12=8 $$

    Step 3: Notice that we have come to an impossible conclusion, so there’s no solution of x and y that will make 12 equal to 8.

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