I have two problems right now the 1st is an equation
1, Two people walk 240 meters at a constant speed
Person A takes 100 more steps than the other,
Person B's steps are 20cm longer, Find how mant steps they take
2. I did most of the problem but I can't get any farther on this
9(u^2+uv+v^2)=7(u+v)^2
u=2^(x+y)
v=3^(x-y)
The orignal problem is
Solve System
4^(x+y)=27+9^(x-y)
8^(x+y)-21*2^(x+y)=27^(x-y)+7*3^(x-y-1)
It looks like your approach is right, though I'm not sure where you got that u, v equation from.
and
Let's rewite these:
and
Let and .
Then we have
and
As the graph below shows (use x = u and y = v) you are done. The graphs do not intersect, so there are no solutions.
-Dan