Question

resolva o sistema a seguir

Answer 1

4^x * 8^y =1/4  ==> 2^(2x)  * 2^(3y) =2^(-2)

=2^(2x+3y) =2^(-2)

2x+3y=-2   (i)

9^x *27^(2y)=3

3^(2x) * 3^(6y) =3

3^(2x+6y)=3¹

2x+6y =1  (ii)

.............................................

2x+3y=-2   (i)

2x+6y =1  (ii)

(i)-(ii)

-3y=-3 ==>y=1

2x+3y=-2

2x+3=-2

x=-5/2