diketahui sistem persamaan: p/2+q/2=8 p/4+r/2=2 q/3-r/2=3 nilai p+q+r adalah...

p/4 + r/2 = 2
q/3 - r/2 = 3
Jumlahkan
p/4 + q/3 = 5
(3p + 4q)/12 = 5
3p + 4q = 12 × 5
3p + 4q = 60 ... (1)

p/2 + q/2 = 8
p + q = 2 × 8
p + q = 16 ... (2)

Eliminasi p : (1) dan (2)

3p + 4q = 60
3p + 3q = 48
Kurangkan
q = 12 ✔

p + q = 16
p = 4 ✔

p/4 + r/2 = 2
1 + r/2 = 2
r = 2 ✔

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p + q + r = 18 ✔