Sistem Persamaan Linear Dia Variable
menggunakan metode subtitusi
menggunakan metode subtitusi
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Jawab:
1. HP {( 2 , 4 )}
2. HP {( 2 , 3 )}
3. HP {( 1 , 5 )}
Penjelasan dengan langkah-langkah:
1. ( x+y=6
( 2x+y=8
---------------
( y=6-x
( 2x+y=8
Subtitusi
2x+y=8 x+y=6
2x+(6-x)=8 2+y=6
2x+6 - x = 8 y = 6 - 2
x = 8 - 6 y = 4
x = 2
Himpunan penyelesaian {( 2 , 4 )}
2. (4x - 2y = 2
( x + y = 5
----------------
4x - 2y = 2 | x 1
x + y = 5 | x 2
4x - 2y = 2
2x + 2y = 10 (+)
6x = 12
x = 2
Substitusi
x + y = 5
2 + y = 5
y = 3
Himpunan penyelesaian = {(2,3)}
3.
5x+2y = 15 | x2
3x+4y = 23 | x1
------------------------
10x+4y = 30
3x+4y = 23
------------------- (-)
7x = 7
x = 1
Subtitusi
5x+2y = 15
5(1)+2y = 15
2y = 15 - 5
2y = 10
y = 5
Himpunan penyelesaian = {( 1 , 5 )}
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