Question

X-8 = 1/2 (y+2) dan y - 9 = 1/3 (x-4)




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Answer 1

Jawaban:

x = 77/5

y = 59/5

Penjelasan dengan langkah-langkah:

x - 8 = 1/2 (y + 2)

x - 8 = 1/2y + 1

x - 1/2y = 9 .......(1)

y - 9 = 1/3 (x - 4)

y - 9 = 1/3x - 4/3

y - 1/3x = - 4/3 + 9

y - 1/3x = 23/3 ........(2)

Eliminasi persamaan (1) dan (2)

x - 1/2y = 9 ×2

y - 1/3x = 23/3 ×1

2x - y = 18

y - 1/3x = 23/3

_______________ +

2x - 1/3x = 18 + 23/3 ×3

6x - x = 54 + 23

5x = 77

x = 77/5

2x - y = 18

2(77/5) - y = 17

144/5 - y = 17

- y = 17 - 144/5

- y = 85/5 - 144/5

- y = -59/5

y = 59/5