Question

solve 2/x+2y+1/2x-y+5/9=0,9/x+2y+6/2x-y+4=0

Answer 1

Answer:

x = 1/2, y = 2

Step-by-step explanation:

Given  

solve 2/(x+2y)+1/(2x-y)+5/9=0, 9/(x+2y)+6/(2x-y)+4=0

ANSWER  

Now let A = 1/ x + 2 y and B = 1 / 2 x – y

So we get

2 A + B + 5/9 = 0--------1

9 A + 6 B + 4 = 0---------2

Multiply equation 1 by 6 we get

12 A +  B + 10/3 = 0

9 A + 6 B + 4 = 0

Subtracting we get

A = 2/9

Again 2 A + B + 5/9 = 0

      2(2/9) + B + 5/9 = 0

      4/9 + 5/9 + B = 0

So B = - 1

 X + 2 y = 9/2---------3

1 x – y = - 1------------4

Multiply eqn 3 by 2  

X + 2 y = 9/2

X + 2(2) = 9/2

X + 4 = 9/2

X = 9/2 – 4

X = 1 / 2

Solving we get x = 1 /2 and y = 2