SOLUTION: Given {{{2^x=8^(y+1)}}} and {{{9^y=3^(x-9)}}}, find the values of x+y.

Algebra.Com
Question 468345: Given and , find the values of x+y.
Answer by Tatiana_Stebko(1539)   (Show Source): You can put this solution on YOUR website!
From the first equation

So,
From the second equation


System

,
Subtract the second equation from the first one


Put in the first equation




Answer: 27

RELATED QUESTIONS

1/x + 2/y - 4/z = 1 2/x + 3/y + 8/z = 0 -1/x + 9/y + 10/z = 5 then solve x, y and... (answered by Fombitz)
find all the values of x satisfying the given conditions y=(x+4)^(3/2) and... (answered by josh_jordan)
Find the equation in standard form of the hyperbola with an asymptote slope of 3/4 and... (answered by ewatrrr)
Given, (x-1)^2/9+(y+1)^2/1=9, find the coordinates of the center and the X and Y... (answered by Edwin McCravy)
Show that {{{(log(9,(x/y)))=((1/2)(log(3,x)-log(3,y)))}}}. Hence, find the values of... (answered by Alan3354)
Find the domain and the range of the given function. f(x) = -x^2 + 6x A. domain:... (answered by ewatrrr)
{{{system((1/2)^(x+y)=16, log(x-y,8)=-3)}}} Calculate the values of x and... (answered by Edwin McCravy)
{{{system((1/2)^(x+y)=16, log(x-y,8)=-3)}}}. Calculate the values of x and... (answered by Edwin McCravy)
The circles (x+1)^2+(y-1)^2=9 and (x-3)^2+(y+1)^2=9 are overlapped. Find the point of... (answered by dkppathak)