Identify the solution(s) of the system of equations, if any. x + 3y = 6 5x - 6y = 2
Question
Updated 7/15/2018 1:39:59 PM
This conversation has been flagged as incorrect.
Edited by Masamune [7/15/2018 1:37:43 PM], Flagged by Masamune [7/15/2018 1:37:44 PM]
Original conversation
User: Identify the solution(s) of the system of equations, if any. x + 3y = 6 5x - 6y = 2

Weegy: for x+3y=4 it is (2/3,2), (

User: Identify the solution(s) of the system of equations, if any. 4x + 6y = 11 y = 5 - 7x

Question
Updated 7/15/2018 1:39:59 PM
This conversation has been flagged as incorrect.
Edited by Masamune [7/15/2018 1:37:43 PM], Flagged by Masamune [7/15/2018 1:37:44 PM]
Rating
3
x + 3y = 6 ;
5x - 6y = 2 ;

x = -3y + 6 ;
5(-3y + 6) - 6y = 2 ;
-15y + 30 - 6y = 2 ;
-21y + 30 = 2 ;
-21y = 2 - 30 ;
-21y = -28 ;
y = -28/-21 ;
y = 28/21 ;
y = 4/3 ;

x + 3(4/3) = 6 ;
x + 4 = 6 ;
x = 6 - 4 ;
x = 2;

Solution set: x = 2, y = 4/3
3
4x + 6y = 11 ;
y = 5 - 7x;

4x + 6(5 - 7x) = 11 ;
4x + 30 - 42x = 11 ;
-38x + 30 = 11 ;
-38x = 11 - 30 ;
-38x = -19 ;
x = -19/-38 ;
x = 19/38 ;
x = 1/2 ;

y = 5 - 7(1/2) ;
y = 5 - 7/2 ;
y = 3/2 ;

Solution set: x = 1/2, y = 3/2

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