Page 25 - 1W. MODUL SPLDTV DAN KUADRAT_Neat

(1)(3) 2x + 3y – 3z = 10 (1) 2x + 3y – 3z = 10
4x + 4y + z = 11 (3) 12x + 12y + 3z = 33

14x + 15y = 43 ...................... (4)

(2)(3) 2x – y + 2z = 1 (1) 2x – y + 2z = 1
4x + 4y + z = 11 (2) 8x + 8y + 2z = 22

–3y = 3 –6x – 9y = –21

2x + 3y = 7 ......................................... (5)

(4)(5) 14x + 15y = 43 (1) 14x + 15y = 43
2x + 3y = 7 (7) 7x + 21y = 49

–8 – 7z = –22 –6y = –6
y = 1.............................................. (6)

(5)(6) 2x + 3y = 7
2x + 3(1) = 7
2x + 3 = 7
2x = 4
x = 2 ..................................................................................................... (7)

(1)(6)(7) 2x + 3y – 3z = 10
2(2) + 3(1) – 3z = 10
4 + 3 – 3z = 10
7 – 3z = 10
–3z = 3
z = –1
Jadi himpunan penyelesaiannya H = {(2, 1, –1)}

Sistem Persamaan Linier 3