Solve the system of equations using substitution. -5x + y = -5 and -4x + 2y = 2
-4x + 2y = 2 ; -5x + y = -5; y = 5x - 5 ; -4x + 2(5x - 5) = 2 ; -4x + 10x - 10 = 2 ; 6x - 10 = 2 ; 6x = 2 + 10 ; 6x = 12 ; x = 12/6 ; x = 2 ; -4(2) + 2y = 2 ; -8 + 2y = 2 ; 2y = 2 + 8 ; 2y = 10 ; y = 10/2 ; y = 5 ; Solution set: x = 2, y = 5
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Question
Updated 7/28/2018 5:34:28 PM
Edited by Masamune [7/28/2018 5:34:23 PM]
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8
-4x + 2y = 2 ;
-5x + y = -5;
y = 5x - 5 ;

-4x + 2(5x - 5) = 2 ;
-4x + 10x - 10 = 2 ;
6x - 10 = 2 ;
6x = 2 + 10 ;
6x = 12 ;
x = 12/6 ;
x = 2 ;

-4(2) + 2y = 2 ;
-8 + 2y = 2 ;
2y = 2 + 8 ;
2y = 10 ;
y = 10/2 ;
y = 5 ;

Solution set: x = 2, y = 5

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