Question

find x and y, 15/x+2/y=17/1 ; 1/x+1/y=36/5​

Answer 1

Answer:

(15/x) + (2/y) = 17

(1/x) + (1/y) = 36/5

Let 1/x = a and 1/y = b

15a + 2b = 17 ----- (1)

a + b = 36/5

5(a + b) = 36

5a + 5b = 36 ------ (2)

(1) - (2) ⋅ 3 =>

15 a + 2 b = 17

15 a + 15 b = 108

(-) (-) (-)

-------------------

-13 b = -91

b = 7

Substitute b = 7 in the first equation

15 a + 2(7) = 17

15 a + 14 = 17

15 a = 17 – 14

15a = 3

a = 1/5

By finding the values of x and y from a and b, we get

x = 5 and y = 1/7