Question

Solvve for x and y - 7/x + 8/y=2 and 2/x + 13/y=22

Answer 1

Answer:

x = 1/-2 and y = 1/2

Step-by-step explanation:

Let 1/x = u and 1/y =v

7u + 8v = 2............... eqn 1

2u + 13v = 22 ............. eqn 2

Multiply (1) by 2 and (2) by 7 then subtract

14u +91v =154

14u + 16v =4

75v = 150

v = 2

Now putting the value of v in (1)

7u = 2 - 16

u = -14

Therefore, 1/x = -2 and 1/y = 2

x = 1/-2 and y = 1/2