Question

Solve the following system of equation

Answer 1

Answer:

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Step-by-step explanation:

1/2x - 1/y =1

=> 2x-y=1

=> x = (1+y)/2 ---- (i)

Now,

1/x + 1/2y =8

=> x + 2y = 1/8

=> (1+y)/2 + 2y = 1/8    [from(i)]

=> (1+5y)/2 = 1/8

=> 1 + 5y = 1/4

=> 5y = - 3/4

=> -3/20=y

THEREFORE,

2x= 1- 3/20 [ from 1st equation]

2x= 17/20

x= 17/40

Answer: x= 17/40 and y = -3/20

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