method of substitution 2x-y=5, 5x-2y=13
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Updated 2/22/2018 9:02:02 AM
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User: method of substitution 2x-y=5, 5x-2y=13

Weegy: x=4 and y=2; Solution: get y; 2x-y=6; y=2x-6; substitute y to 5x-2y=16; 5x-2(2x-6)=16; solve for x; x=4; substitute x to y=2x-6; y=2(4)-6; y=2

Question
Updated 2/22/2018 9:02:02 AM
This conversation has been flagged as incorrect.
Rating
8
2x - y = 5 ;
5x - 2y = 13 ;

-y = -2x + 5 ;
y = 2x - 5 ;

5x - 2(2x - 5) = 13 ;
5x - 4x + 10 = 13 ;
x + 10 = 13 ;
x = 13 - 10 ;
x = 3 ;

2(3) - y = 5 ;
6 - y = 5 ;
-y = 5 - 6 ;
-y = -1 ;
y = 1 ;

Solution set: (3, 1)

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