Given the systems below: 2x - y = 3 ax + by = 6 where a and b are constants. i. Find the values of a and b in where the given system will have a unique solution ii. Find the values of a and b in where the given system will have an infinite number of solutions iii. Find the values of a and b in where the given system will have no solution

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
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 12OE
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Given the systems below:
2x - y = 3
ax + by = 6
where a and b are constants.

i. Find the values of a and b in where the given system will have a unique solution
ii. Find the values of a and b in where the given system will have an infinite number of solutions
iii. Find the values of a and b in where the given system will have no solution

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