SOLUTION: Solve the equations {{{(3)^x}}}.{{{(9)^(2y) = 1}}}, {{{(5)^(3x) (25)^y = 1/125}}} *Please answer as soon as possible bro :)

Algebra ->  Systems-of-equations -> SOLUTION: Solve the equations {{{(3)^x}}}.{{{(9)^(2y) = 1}}}, {{{(5)^(3x) (25)^y = 1/125}}} *Please answer as soon as possible bro :)      Log On


   

Question 465558: Solve the equations %283%29%5Ex.%289%29%5E%282y%29+=+1,
%285%29%5E%283x%29+%2825%29%5Ey+=+1%2F125
*Please answer as soon as possible bro :)
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
3^x * 9^2y = 1
=> 3^(x+4y) = 1, [ because 9 = 3^2]
so, x+ 4y =0,[ because 3^0 =1 ]

5 ^(3x+2y) = 5^(-3)
so, 3x+2y= -3
now, multiply the second equation by 2 and subtract from first equation,
x -6x = 0 - (-6)
=> -5x = 6
so, x = -6/5
and y = 6/20

you are welcome to get free online help : sudhanshu.cochin@gmail.com