Question

1. Menggunakan metode eliminasi tentukan penyelesaian dari
-3x + 2y = 8 dan 2x - y = -10 adalah ....

Answer 1

Penyelesaian ✍️

-3x + 2y = 8 |×-2

2x - y = -10 |×3

_ _ _

6x + -4y = -16

6x - 3y = -30

____________ -

-1y = 14

y = 14/-1

y = -14

2x - y = -10

2x - - 14 = -10

2x + 14 = -10

2x = -10 - 14

2x = -24

x = -24/2

x = -12

HP = ( x, y ) = ( -12, -14 )

Answer 2

SOAL 1

___________________________________________

Cari Dahulu Nilai x Atau y :

-3x + 2y = 8 | × 1 | [ Pers 1 ]

2x - y = -10 | × 2 | [ Pers 2 ]

___________________________________________

Eliminasi Nilai y :

-3x + 2y = 8

4x - 2y = -20

__________ +

-3x + 4x = 8 + (-20)

x = 8 - 20

x = -12

___________________________________________

Subtitusikan Nilai x Ke Pers 1 :

-3x + 2y = 8

-3(-12) + 2y = 8

36 + 2y = 8

2y = 8 - 36

2y = -28

y = -28/2

y = -14

HP : { x ; y } : { -12 ; -14 }

___________________________________________