Question

solve for x and y::::

4/x + 5y =7

3/x + 4y =5

Answer 1

4/x + 5y = 7  -------------(1)
3/x + 4y = 5 -----------------(2)
multiply in equation (1) with 4 & in equation (2) with 5 and subtract
1/x = 3
x = 1/3
put x = 1/3 in equation (1) 
12 + 5y = 7
y = -1
 

Answer 2

4/x + 5y =7------------->1
3/x + 4y =5.------------------->2
multiply equation 1 with 3  and the 2nd equation with 4 
then we get 
12/x + 15y = 21
12/x + 16y = 20 
then subtracting both the above equations we get 
-y = 1
⇒y = -1
substituting this in equation 1 we get 
4/x + 5(-1) = 7
4/x -5 = 7
4/x = 12
x = 4/12
⇒x= 1/3 
therefore x = 1/3 and y = -1