Himpunan penyelesaian dari persamaan 3x+2y=12, dengan x,y∈{ bilangan cacah } adalah ….

Himpunan penyelesaian dari persamaan 3x+2y=12, dengan x,y∈{ bilangan cacah } adalah ….
a. {(0,6),(2,3),(4,0)}
b. {(0,6),(2,3),(0,4)}
c. {(0,12),(2,6),(0,4)}
d. {(6,0),(2,6),(0,4)}

Jawaban dari pertanyaan di atas adalah A.

Perhatikan konsep berikut.
Bilangan cacah sendiri merupakan himpunan bilangan yang terdiri dari bilangan nol dan bilangan bulat positif.

Untuk x = 0
3(0) + 2y = 12
2y = 12
y = 12/2
y = 6

Untuk x = 2
3(2) + 2y = 12
6 + 2y = 12
2y = 12 – 6
2y = 6
y = 6/2
y = 3

Untuk x = 4
3(4) + 2y = 12
12 + 2y = 12
2y = 12 – 12
2y = 0
y = 0/2
y = 0

Dengan demikian himpunan penyelesaiannya adalah {(0,6),(2,3),(4,0)}.
Oleh karena itu, jawabannya adalah A.
Semoga membantu ya, semangat belajar 🙂

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