Question

solve for X and Y
3 /X + 1 /Y = 9 and 1/X + 2 / Y = 10​

Answer 1

Answer:

X = 5/8

Y = 5/21

Step-by-step explanation:

3/X + 1/Y = 9

1/X + 2/Y = 10

Let 1/X be a and 1/Y be b

3a + b = 9.....equ 1

a + 2b = 10......equ 2

equ 1× 2 - equ 2

6a + 2b = 18

a + 2b = 10

(-) (-) (-)

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

5a = 8

a = 8/5

substitute a = 8/5 in equ 2

8/5 + 2b = 10

2b = 10 - 8/5

2b = 42/5

b = 42/5 ÷ 2

b = 42/5 × 1/2

b = 21/5

a = 1/X = 8/5

=> X = 5/8

b = 1/Y = 21/5

=> Y = 5/21

Hope it helps you:)