SOLUTION: 2^x*4^-y=2:3^-x*9^2y=3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 2^x*4^-y=2:3^-x*9^2y=3      Log On


   

Question 845448: 2^x*4^-y=2:3^-x*9^2y=3
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

2^x*4^-y=2

2%5Ex%2A%282%5E2%29%5E%28-y%29+=+2%5E1

2%5Ex%2A2%5E%28-2y%29+=+2%5E1  ⇒ +highlight_green%28x+-+2y+=+1%29

3^-x*9^2y=3

3%5E%28-x%29%2A3%5E%284y%29+=+2%5E1  ⇒ +highlight_green%28-x%2B4y+=+1%29

 x-2y = 1

-x+4y = 1

     2y = 2

      y = 1   and x = 3



CHECKING our answer*** 2%5Ex%2A4%5E%28-y%29=2

2%5E3%2A4%5E%28-1%29=2

 8/4 = 2

Wish You the Best in your Studies.



a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29 *** Applied

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29  

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29***Applied

root%28n%2C+%28x%2Fy%29%29+=+root%28n%2Cx%29%2Froot%28n%2Cy%29

%28xy%29%5En+=+x%5En%2Ay%5En

x%5E%281%2Fn%29+=+root%28n%2Cx%29   , x%5E%28m%2Fn%29+=+%28root%28n%2Cx%29%29%5Em