Question

slove for x and y: 2/x+1 +3/y+1=2 and 4/x+1 + 9/y+1=5​

Answer 1

Answer:

Let 1/(x+1)=p,1/(y+1)=q

2p+3q=2------(1)

4p+9q=5------(2)

equation(1)*2---4p+6q=4-----(3)

4p+9q=5

(3)-(2)---= -3q=-1

3q=1

q=1/3

substitute this value in equation (1)

2p+3(1/3)=2

2p+1=2

2p=2-1

2p=1

p=1/2

1/(x+1)=1/2

x+1=2

x=2-1

x=1

1/y+1=1/3

y+1=3

y=3-1

y=2

therefore x=1,y=2