selesaian Dari 1/y+2/x=4dan3/y-1/x=5adalah

Kelas 8 Matematika
Bab SPLDV

1/x = a
1/y = b

2a + b = 4
b = -2a + 4

-a + 3b = 5
-a + 3 (-2a + 4) = 5
-a - 6a + 12 = 5
-7a = 5 - 12
a = -7/-7
a = 1

b = -2a + 4
b = -2 . 1 + 4
b = -2 + 4
b = 2

1/x = a
1/x = 1
x = 1

1/y = b
1/y = 2
y = 1/2

(1, 1/2)