Question

Penyelesaian dari sistem persamaan 2x + 3y = 12 dan 3x + 2y = 8 adalah x = a dan y = b. Nilai a + b adalah ... *
A. 1
B.2
C.3
D.4
pake cara jangan asal mengerjakan!!​

Answer 1

Materi : SPLDV

2x + 3y = 12

3x + 2y = 8

[ Eliminasi ( x ) ]

\___________/

6x + 9y = 36

6x + 4y = 16

__________-

9y - 4y = 36 - 16

5y = 20

[ y = 4 ]

---

2x + 3y = 12

2x + 3(4) = 12

2x + 12 = 12

2x = 12 - 12

2x = 0

[ x = 0 ]

Hasil / Result :

{ x = 0 dan y = 4 }

Maka nilai x + y = 0 + 4 = 4 { d. }

Semoga bisa membantu

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Answer 2

Jawab:

Penjelasan dengan langkah-langkah:

2x + 3y = 12 dan 3x + 2y = 8

2x = 12 - 3y

x = (12 - 3y)/2

x = 6 - (3/2)y

3(6 - (3/2)y) + 2y = 8

18 - (9/2)y + 2y = 8

(18 - (9/2)y + 2y)(2) = 8 (2)

36 - 9y + 4y = 16

36 - 16 = 9y - 4y

20 = 5y

y = 20/5

y = 4

x = 6 - (3/2)(4)

x = 6 - 6

x = 0

x = a = 0

y = b = 4

a + b = 0 + 4

a + b = 4 (D)