SOLUTION: Solve the system to find (u,v). Hint: x = 1/u and y = 1/v. Use x and y in the equations to solve. Once you solve for x and y, set those solutions equal to 1/u and 1/v, respecti

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the system to find (u,v). Hint: x = 1/u and y = 1/v. Use x and y in the equations to solve. Once you solve for x and y, set those solutions equal to 1/u and 1/v, respecti      Log On


   

Question 851706: Solve the system to find (u,v). Hint: x = 1/u and y = 1/v. Use x and y in the equations to solve. Once you solve for x and y, set those solutions equal to 1/u and 1/v, respectively, to find (u,v):
3/u+4/v =1
6/u-2/v=1

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

3/u+4/v =1 

 6/u-2/v=1 

x = 1/u and y = 1/v.

I.  3x + 4y = 1

II. 6x - 2y = 1   Multiplying EQ II. by 2 and adding to EQ I to eliminate y

   15x = 3

     x = 1/5 , u = 5

     y+=+-%283%2F4%29x+%2B+1%2F4+=+-%283%2F4%29%281%2F5%29+%2B+1%2F4+=+2%2F20+=+1%2F10

    y = 1/10, v = 10

CHECKING our answer***

 3%2F5+%2B+4%2F10+=+6%2F10+%2B+4%2F10+=+1   

Wish You the Best in your Studies.