Question

solve the pair linear equations by reducible method
4/x+5y=7
3/x+4y=5

Answer 1

Answer:

aloha user!!

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we are given two equations:

4/x + 3y = 14

3/x - 4y = 23

now for reducing them to a pair of linear equations we are going to write

1/x as A and y as B

so, the equations:

4A + 3B = 14

3A - 4B = 23

we can now use elimination or substitution or even cross multiplication.

here i have used elimination because it is easy for me and i hope it would be for you too.

so,

multiplying the second equation by 4 and the first equation by 3 we get:

3 (4A + 3B = 14)

4 ( 3A - 4B = 23 )

↡

12A + 9B = 42

12A - 16B =92

___________

-     +             -

___________

        25B = -50

B = -50/ 25

B = -2 = y

Putting the value of B in any of the equation we will get the value of A :

12A + 9B = 42

12A + 9 ( -2 ) = 42

12A - 18 = 42

12A = 42 + 18

12A = 60

A = 60/ 12

A = 5

So,

1/x = 5

x = 1/5 

y = -2 

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hope it helps !!

good life !!