Question

if 9^x.3^y=2187 and 2^3x.2^2y_4xy=0 then what can be the value of x+y​

Answer 1

9^x×3^y=2187

=> 3^(2x+y)=3^7

=> 2x+y=7………(1)

&

2^3x×2^2y= 4xy

2^(3x+2y)=4xy

From eqn(1)

2^(14-x)=4x(7–2x)

& X+y=7-x

=> 128× 2^(7-x)= 28x-8x²

=> 2^(7-x)=(1/32)×(7 x-2x²)