bab SPLADV.....jika (x,y) adalah nilai HP maka carilah nilai HP/himpunan persamaan 2x(3-4y) 3y(4+x) dari persamaan berikut!!! 2x+4y = 3x - y + 6 2(x - 2y)= 10 y

2x+4y = 3x - y + 6
2x - 3x + 4y + y = 6
-x + 5y = 6 >>> persamaan 1

2(x - 2y) = 10
2x - 4y = 10 >> persamaan 2


penyetaraan x
-x + 5y = 6 (kali -2) 2x - 10y = -12
2x - 4y = 10 (kali 1) 2x - 4y = 10

eliminasi x
2x - 10y = -12
2x - 4y = 10
------------------- (-)
-6y = -22
y = -22/-6 = 11/3 >>> nilai y

2x - 4y = 10
2x = 10 + 4y
2x = 10 + 4×(11/3)
2x = 10 + (44/3)
2x = (30+44)/3
2x = 74/3
x = 74/6 = 37/3 >>> nilai x


nilai HP/himpunan persamaan
2x(3-4y)
= 6x - 8xy
= 6(37/3) - 8 (37/3) (11/3)
= 222/3 - 3.256/9
= 666/9 - 3.256/9
= -2.590/9

3y(4+x)
= 12y + 3xy
= 12 (11/3) + 3 (37/3) (11/3)
= 132/3 + 1.221/9
= 396/9 + 1.221/9
= 1.617/9
= 539/3