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Here's how I did it:

I set up my two equations:

xy=540

x+y=12

Then, by subtraction

x=12-y

By substitution:

xy=540

(12-y)y=540

12y-y2=540

-y2+12y-540=0

Through the quadratic formula...

y=6 ± -6i√14

If you use addition for y, then you should subtract for x, so that x + y = 12

Q: What two number multiply to 540 and add to 12?

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One trick for multiplying by 12 is to multiply the number by 10 and then add two times the number. For example, if you want to multiply 7 by 12, first multiply 7 by 10 to get 70, and then add 7*2=14 to get 84.

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