Question

1/x+1/y=1/24, 2/x+1/y=1/8 solve by long form of simultaneous equation method

Answer 1

Answer:

Step-by-step explanation:

1/x+1/y=1/24..........1)

2/x+1/y=1/8............2)

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

On substituting,

a+b=1/24

Multiplying by 24

24a + 24b = 1...........3)

2a + b = 1/8 ----------> [from eqn 2)]

Multiplying by 8

16a + 8b = 1.......4)

Multiplying eqn 4) by 3

48a + 24b = 3 .....................5)

Subtracting 3) from 5)

48a + 24b = 3

24a + 24b = 1

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

24a            = 4

a = 4/24

a = 1/6  

Put a = 1/6 in eqn 3)

24 (1/6) + 24b = 1

4 + 24b = 1

24b = -3

b = -3/24

b = -1/8

On Resubstitution,

a = 1/x

1/6 = 1/x

x = 6

b = 1/y

-1/8 = 1/y

y = -8

Soln. is,

x = 6, y = -8