tentukan Hp sistem persamaan berikut. 2/x - 3/y =3/2 dan 5/x +12/y=1/2
Matematika
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Pertanyaan
tentukan Hp sistem persamaan berikut. 2/x - 3/y =3/2 dan 5/x +12/y=1/2
1 Jawaban
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1. Jawaban Anggress1
2/x - 3/y = 3/2
2y-3x / xy = 3/2
2y-3x = 3xy/2
4y-6x = 3xy
...
5/x + 12/y = 1/2
5y+12x / xy = 1/2
5y+12x = xy/2
10y+24x = xy
4y-6x = 3xy —kalikan 4
10y+24x = xy
—————— +
26y = 13xy
.....y = xy/2
4(xy/2)-6x = 3xy
2xy-6x = 3xy
-6x = xy
x = -xy/6
Hp = {x,y | -xy/6, xy/2}