Tentukan nilai x-y=... jika diketahui SPLDV 2x-y-6=0 , 3x+2y=0

Materi : SPLDV

Pembahasan :
3x + 2y = 6
4x - 2y = 12
——————— (+)
7x = 18
x = 18/7

Substitusi...
2x - y = 6
y = 2x - 6
y = 2(18/7) - 6
y = 36/7 - 6
y = -6/7

Maka...
x - y
= 18/7 - (-6/7)
= 18/7 + 6/7
= 24/7

2x-y-6=0 => 2x-y=6 .... (1)
3x+2y=0 ... (2)
2x- y =6 |×2 => 4x-2y =12
3x+2y=0 |×1 => 3x+2y=0
------------- +
7x =12
x =1,71
3x+2y=0
3(1,71)+2y=0
5,13+2y=0
2y=-5,13
y=-2,565

x-y=1,17- (-2,565)
= 3,735