Question

27÷x-2+31÷y+3=85;31÷x-2+27÷y-2=89

Answer 1

Step-by-step explanation:

27/(x-2) + 31/(y+3) = 85 --( 1 STEP )

31/(x-2) + 27/(y+3) = 89 ---( 2 STEP )

Let 1/(x-2) = a , 1/(y+3) = b

27a + 31b = 85 ---( 3 STEP )

31a + 27b = 89 ---( 4 STEP )

Do [ 31×(3) - 27×(4) ] , we get

961b - 729b = 2635 - 2403

=> 232b = 232

=> b = 232/232

b = 1 ,

Substitute b = 1 in equation (3),

We get

27a + 31 = 85

=> 27a = 85 - 31

=> 27a = 54

=> a = 54/27

a = 2 ,

Therefore ,

1/(x-2) = a = 2/1

=> 2(x-2) = 1

=> 2x - 4 = 1

=> 2x = 5

=> x = 5/2 = 2.5

And ,

1/(y+3) = b = 1

=> y + 3 = 1

=> y = -2

Therefore ,

x = 2.5 , y = -2