The correct answer would be D, (3,-4). For the first equation, x=2y+11 would be 3=2(-4)+11 which turns to 3=-8+11 which equals 3=3 so it’s true. For the second equation, 7x+2y=13 which becomes 7(3)+2(-4)=13 making it 21-8=13 which turns into 13=13 so this is true as well.
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-12 would fall into integers and real numbers.
-12 is not a natural number because it is negative.
-12 is not irrational because it can be transferred into a fraction,

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5 cups of broth? I’m not sure if this is meant to be serious