tentukan hp yang memenuhi sistem persamaan brkt 9/x-14/y=0 6/x+2/y=1

SPLDV

misalkan 1/x = a dan 1/y = b
9/x - 14/y = 0 --> 9 (1/x) - 14 (1/y)= 0
9a - 14b = 0 ....(1)

6/x + 2/y = 1 --> 6 (1/x) + 2(1/y)= 1
6a + 2b = 1 .....(2)
.

(1) dan (2) di eliminasikan
9a - 14 b = 0 .....x 2
6a + 2b = 1 .......x 3
.
18 a - 28 b = 0
18a + 6b = 3
....................(-)
-34 b =  -3 ---> b = 3/34 --->y = 34/3
.
9a - 14b = 0.....x1
6a + 2b = 1......x7
.
9a - 14b = 0
42a +14b = 7
...................(+)
51 a = 7
a = 7/51--> x = 51/7

(x,y)= (⁵¹/₇  , ³⁴/₃)