Question

Solve for x and y:7/x+8/y=2and 2/x+13/y=22

Answer 1

Answer:

x=-1/2;

y=1/2

Step-by-step explanation:

Let 1/x be 'a' and 1/y be 'b'

7a+8b=2 -----> (1)

2a+13b=22 -----> (2)

mul (1) by 2 and (2) by 7

We get

14a+16b=4 --------->(3)

14a+91b=154 --------->(4)

subtracting (4) by (3)

we get

75b=150

b=2 then, y=1/2

substituting b=2 in (2)

2a+26=22

2a=22-26

2a= -4

a= -2 then,x= -1/2