Question

solve the following by reducing to a pair of linear equations 11/x-7/y=1 and 9/x-4/y=6

Answer 1

Answer:

The value of x is 1/2 and value of y is 1/3.

Step-by-step explanation:

Substitute 1/x=m and 1/y=n

therefore 11m-7n=1. (equation 1)

9m-4n=6. (equation 2)

multiply eqn 1 by 4 and eqn 2 by 7

44m-28n=4. (eqn 3)

63m-28n=42. (eqn 4)

subtracting both eqn

44m-28n=4

- 63m- 28n=42

(-). (+). (-)

-19m=-38

m=-38/-19

m=2

substitute m=2 in eqn 1

11m-7n=1

11×2-7n=1

22-7n=1

-7n=1-22

-7n=-21

n=-21/-7

n=3

Resubstitute m=1/x and n=1/y

1/x=2. and 1/y=3

2x=1. and. 3y=1

therefore, x=1/2. and y=1/3

Answer 2

The question is wrong

but the answer is x = 1/2. y = 1/3.

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