I got 1 = 89(9) - 20(40) through Euclide Extended Algorithm. I would like to get one more variation of 89(x) - 20(y) with different numbers in it (not 9 or 40). Which calculations should I perform to get my answer?

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I got 1 = 89(9) - 20(40) through Euclide Extended Algorithm. I would like to get one more variation of 89(x) - 20(y) with different numbers in it (not 9 or 40). Which calculations should I perform to get my answer?

8920(4) +9
20=9/2) +2
9 = 2/41+1
6
=
9=83-20/4)
2 = 20-9/21
→ 1-9-2(4)
19-214)
9-(20-9(2)) (4) = 9(9) - 20/4)
= (89 - 20(4)) (9) -20 (4) = 8.9/9) - 20/40)
Transcribed Image Text:8920(4) +9 20=9/2) +2 9 = 2/41+1 6 = 9=83-20/4) 2 = 20-9/21 → 1-9-2(4) 19-214) 9-(20-9(2)) (4) = 9(9) - 20/4) = (89 - 20(4)) (9) -20 (4) = 8.9/9) - 20/40)
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