Penjelasan dengan langkah-langkah:

Sistem Persamaan Linear Dua Variabel

4/x + 5/y = 1

(5x + 4y)/xy = 1 --> 5x + 4y = 1xy .. persamaan (1)

6/x - 10/y = 5

(-10x + 6y)/xy = 5 --> -10x + 6y = 5xy .. persamaan (2)

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Eliminasi persamaan (1) dan (2)

5x + 4y = xy |x -10|

-10x + 6y = 5xy |x 5|

-50x - 40y = -10xy

-50x + 30y = 25xy

________________ _

-70y = -35xy

-70 = -35x

35x = 70

x = 70/35

x = 2

substitusi nilai x ke persamaan (1)

5x + 4y = xy

5(2) + 4y = 2y

10 + 4y = 2y

4y - 2y = -10

2y = -10

y = -10/2

y = -5

HP (x,y) = { 2, -5 }

semoga membantu