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Identify the solution(s) of the system of equations, if any. x + 5y = 7 6x - 10y = 18
x + 5y = 7 ; 6x - 10y = 18 ; x = -5y + 7 ; 6(-5y + 7) - 10y = 18 ; -30y + 42 - 10y = 18 ; -40y + 42 = 18 ; -40y = 18 - 42 ; -40y = -24 ; y = -24/-40 ; y = 3/5 ; x + 5(3/5) = 7 ; x + 15/5 = 7 ; x + 3 = 7 ; x = 7 - 3 ; x = 4 ; Solution set: (4, 3/5)
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Asked 10/7/2013 12:34:21 AM
Updated 293 days ago|1/25/2018 11:23:46 PM
1 Answer/Comment
Edited by Masamune [1/25/2018 11:23:44 PM]
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x + 5y = 7 ;
6x - 10y = 18 ;

x = -5y + 7 ;
6(-5y + 7) - 10y = 18 ;
-30y + 42 - 10y = 18 ;
-40y + 42 = 18 ;
-40y = 18 - 42 ;
-40y = -24 ;
y = -24/-40 ;
y = 3/5 ;

x + 5(3/5) = 7 ;
x + 15/5 = 7 ;
x + 3 = 7 ;
x = 7 - 3 ;
x = 4 ;

Solution set: (4, 3/5)
Added 293 days ago|1/25/2018 11:23:46 PM
This answer has been confirmed as correct and helpful.
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