If `(5*6)^(x)=(0.0056)^(y)=10^(5)` then `(1)/(x)-(1)/(y)=`

If 5^(x)=(0.5)^(y)=1000,then(1)/(x)-(1)/(y)=

If (2.5)^(x)=(0.025)^(y)=10^(3) , then the value of (1)/(x)-(1)/(y) is

Solve for x and y : (1)/( 7x ) + ( 1) /( 6y) = 3, (1)/( 2x) - (1)/( 3y ) = 5 (x ne 0, y ne 0)

If A=[{:(2,3,10),(4,-6,5),(6,9,-20):}] , find A^(-1) . Using A^(-1) , solve the system of equations : {:((2)/(x)+(3)/(y)+(10)/(z)=2),((4)/(x)-(6)/(y)+(5)/(z)=5),((6)/(x)+(9)/(y)-(20)/(z)=-4):}

Solve for x and y:(xy)/(x+y)=(1)/(5),x+y!=0;(xy)/(x-y)=(1)/(7),x-y!=0

Find the solution of the pair of equations (x)/(10) + (y)/(5) - 1 = 0 and (x)/(8) + (y)/(6) = 15 and find lambda , if y = lambda x + 5 .

If y = tan ^ (- 1) ((1) / (1 + x + x ^ (2))) + tan ^ (- 1) ((1) / (x ^ (2) + 3x + 3)) + tan ^ (- 1) ((1) / (x ^ (2) + 5x + 7)) then y '(0) = (i) - (3) / (10) (ii) - (5) / (10) (iii) - (7) / (10) (iv) - (9) / (10)

(x-1)dy-(1+y)dx=0, y=4" if " x=2 A) 5(x-1)(1+y)=1 B) (x-1)(1+y)=5 C) 1+y=5(x-1) D) 5(1+y)=x-1

If x:y = 1:1, then (3x+4y)/(5x+6y) = ____.