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x= ayam
y= kambing
x + y= 13
x= 13 - y
2x + 4y= 38
2(13 - y) + 4y= 38
26 - 2y + 4y= 38
26 + 2y= 38
2y= 38 - 26
2y= 12
y= 12/2
y= 6
x + y= 13
x + 6= 13
x= 13 - 6
x= 7
Jadi :
x= 7 ( ayam )
y= 6 ( kambing )
Jadi, banyak kambing dikebun tersebut adalah 6.