Selesaikanlah persamaan 5x – 6y = -12 dan x + 2y = 4 dengan metode eliminasi

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(yang ngasal tek gx tau gx usah jwb) jwbn yg bener {0, 2} pake cara eliminasi​

Selesaikanlah persamaan 5x – 6y = -12 dan x + 2y = 4 dengan metode eliminasi

Penjelasan dengan langkah-langkah:

Eliminasi y

5x – 6y = -12 | × 1 | 5x – 6y = -12

x + 2y = 4 | × 3 | 3x + 6y = 12

__________+

8x = 0

x = 0/8

x = 0

Eliminasi x

5x – 6y = -12 | × 1 | 5x – 6y = -12

x + 2y = 4 | × 5 | 5x + 10y = 20

___________–

-16y = -32

y = -32/-16

y = 2

Pembuktian :

5x – 6y = -12

5(0) -6(2) = -12

0 – 12 = -12

x + 2y = 4

0 + 2(2) = 4

0 + 4 = 4

Materi : SPLDV

5x – 6y = 12

x + 2y = 4 [ x = – 2y + 4 ]

_________________/

5( – 2y + 4 ) – 6y = 12

– 10y + 20 – 6y = 12

– 16y = – 8

y = ½

()()()()()

x = – 2y + 4

x = – 2(½) + 4

x = – 1 + 4

x = 3

______________/

Result / Hasil :

x = 3 dan y = ½ => ( 3,½ )

Semoga bisa membantu

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