Answered: ху‑9 Find the set(s) of values for…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 13P

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Hi,

I need to find the "truth set" i.e. the set of points that satisfy BOTH these conditions at all times:

xy = 9
3x - 4y =1

With a lot of algebraic manipulation - and a final check on Wolfam Alpha I see I got it right (image embedded) but it took screeds of scribbling and substitution.

Can you please advse if you think a concise set of steps would acheive the same goal? Say 4-5 lines, including working, and reply with these

Many Thanks

Kim

ху‑9
Find the set(s) of values for variables {x, y}; either of which
may assume either/or real and complex values, and
always satisfies the conditions :
solve
3х-4 у—1
Results:
ху — 9
1
Зх - 4у 31
1
(-1- V 433
8
X = - (1- V 433 ) Ay =
6
1
x = - (1+ V 433 ) Ay:
6
1
(V 433 - 1)
8

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