Question

(4/y) + (3/x) =8 and (6/y) + (5/x)=13

Answer 1

Answer:

x = 1/2  y= 2

Step-by-step explanation:

Let 1/x = a and 1/y = b

4b +3a = 8

3a = 8 - 4b

a = (8-4b)/3

6b + 5a = 13

Put value of a

6b+5* (8-4b)/3 = 13

6b+(40 - 20b)/3 = 13

Take LCM

(18b + 40 - 20b)/3 = 13

(18b + 40 - 20b)= 13*3

40 - 2b= 39

-2b = 39 - 40

b = -1/-2

b = 1/2

As b = 1/y

y = 2

4/y + 3/x = 8

3/x = 8 - 4/2

3/x = 8 - 2

3/x = 6

3 *1/x = 6

1/x = 6/3

1/x = 2

x = 1/2