Find the coordinates of the points of intersection of the line y + 2x = 11 and the curve xy=12. Help, please. Forced to do problems with little knowledge of the subject.

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y=11-2x put in xy=12 x(11-2x)=12 11x-2x^2=12 2x^2-11x+12=0 find x ,then corresponding values of y

So, I must foil then I will get the x values, right?

No and absolutely not. "FOIL" isn't a verb. It's not even a thing. Just solve the equation. You can also go the other way. xy=12 ==> y = 12/x y + 2x = 11 ==> (12/x) + 2x = 11 and solve for x.

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