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EXPLANATION.

  • EQUATION GIVEN

3/x - 1/y = -9 .....(1)

2/x + 3/y = 5 ....(2)

Let we ASSUME that 1/x = a and 1/y = b

The new equation will be written as ;-

3A - b = -9 ....(3)

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

multiply equation (1) by 3

multiply equation (2) by 1

9A - 3b = -27

2a + 3b = 5

Therefore,we get,

11a = -22

a = -2

put the value of a in equation (4) we get

2a + 3b = 5

2(-2) + 3b = 5

-4 + 3b = 5

3b = 9

b = 3

Therefore, we can assume 1/x = a

1/x = -2

-2x = 1

x = -1/2

we assume that 1/y = b

1/y = 3

3y = 1

y = 1/3



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