Nilai x dan y jika 3x – 4y = –2 dan –x + 2y = 0 adalah ... A. (–1, –2)B. (–2, –1)C. (1, –2)D. (–1, 2) ​

sabrynachristiansenulv – March 14, 2023

Nilai x dan y jika 3x – 4y = –2 dan –x + 2y = 0 adalah ...
A. (–1, –2)
B. (–2, –1)
C. (1, –2)
D. (–1, 2) ​

[tex] \huge{\underbrace{\sf{\red{JAWABAN}}}} [/tex]

Jawaban : B

[tex] \huge{\underbrace{\sf{\purple{PEMBAHASAN}}}} [/tex]

3x - 4y = -2 . . . Persamaan 1

- x + 2y = 0 . . . Persamaan 2

3x - 4y = - 2

- x + 2y = 0 (Kalikan 2) - 2x + 4y = 0

3x - 4y = -2

- 2x + 4y = 0

___________ +

x = - 2

Masukkan nilai x kepersamaan pertama

3x - 4y = - 2

3(-2) - 4y = -2

- 6 - 4y = - 2

- 6 + 2 = 4y

4y = - 4

y = - 1

HP = {- 2, -1}

[tex] \colorbox{pink}{\boxed{\boxed{\sf{\huge{\bf{Semoga \: \: Membantu}}}}}} [/tex]

SPLDV

3x - 4y = -2

-x + 2y = 0 ==> x = 2y

Pembahasa

Subtitusi nilai x = 2y

3x - 4y = -2

3(2y) - 4y = -2

6y - 4y = -2

2y = -2

y = -1

Subtitusi nilai y = -1

-x + 2y = 0

-x + 2(-1) = 0

-x - 2 = 0

-x = 2

x = -2

Jadi nilai x dan y {-2, -1}