Question

Elimination method : 4/x+5/y=3 ; 6/x-10/y=1

Answer 1

Answer:

x = 2 and y = 5

Step-by-step explanation:

let 1/x = a. and 1/y = b

4a + 5b = 3 ......(i)

6a - 10 b = 1 ......(ii)

for making 5b = 10 b, multiply by 2 in (i).

(4a + 5b = 3) * 2 =

8a + 10b = 6 ......(iii)

add (ii) and (iii)

(6a - 10 b = 1 )+ (8a + 10b = 6 )

14 a = 7

a = 1/2

putting value of a in (i)

4 * 1/2 + 5b = 3

2 + 5b = 3

5b = 3-2

5b = 1

b= 1/5

we have assumed,

a = 1/x

1/x = 1/2

x = 2

b = 1/y

1/5 = 1/y

y= 5

x = 2 and y = 5