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## Answers

*Let 1/x=p and 1/y=q*

3/x+1/y=73/x+1/y=7

*or,3p+q=7*

*or,q=7-3y......................(1)*

*5/x -4/y=6*

*or,5p-4q=6*

*putting the value of q as 7-3y from (1) we have,*

*5p-(28-12p)=6*

*or,17p=6+28=34*

*or, p=34/17=2............(2)*

*q=7-3y*

*Putting the value of y as 2 from (2) we have,*__So,x=1/1=1 and y=1/2=1/2__

*q=7-6=1*

*Ans: y=1/2*

*x=1*Rewrite the equations now.

3a + b = 7 ......(1) ; 5a - 4b = 6 ........(2)

Multiply eq (1) by 4

12a + 4b = 28 ......(3)

Adding equations (2) and (3)

5a - 4b = 6

12a + 4b = 28

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

17a = 34

a = 2

Substituting a = 2 in eq(1)

3(2) + b = 7

b = 1

a = 2 ⇒ x = 1/2

b = 1 ⇒ y = 1