thelizzybeth

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Questions 3
Answers 132

 #3
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Jun 25, 2020
 #4
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Jun 25, 2020
 #1
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Simplify: \(xy-18x-18y=0\)

Now we use Simon's Favorite Factoring Trick to solve:

Take out x from the first two terms: \(x(y-18)-18y=0\)

Add 18*18 to both sides: \(x(y-18)-18y+18*18=18*18\).

Factor again: \(x(y-18)-18(y-18)=18*18\).

Take out y-18: \((y-18)(x-18)=18*18\)

 

Since they can't be equal, the closest we can get is 27*12.

So y-18 = 27 and x-18 = 12

Now find x and y, add them up, and you have your answer.

Jun 25, 2020