Question

solve the following systems of equation 5/x-1 + 1/y-2 =2 , 6/x-1 - 3/y-2 = 1

Answer 1

1/x-1 =a , 1/y-2 =b
5/x-1 + 1/y-2 = 2
5a+b=2....... EQ 1
6/x-1 - 3/y-2 = 1
6a-3b=1........EQ 2
EQ 1 multiple by 3 and EQ 2 multiple by 1
15a+3b=6
6a-3b=1
adding
21a=7
a=1/3
put a in EQ 2
6(1/3)-3b=1
2-3b=1
-3b=-1
B=1/3
1/x-1 =a
1/x-1 =1/3
x-1=3
x=4
1/y-2 =b
1/y-2 =1/3
y-2=3
y=5