Question

已知2的x次方等于8的y+1次方,9的y次方等于3的x-9次方,求三分之一x+二分之一y的值

Answer 1

2^x=8^(y+1)=2^(3y+3)

x=3y+3

9^y=3^(x-9)

3^(2y)=3^(x-9)

2y=x-9

2y=3y+3-9

y=6

x=21

(1/3)x+(1/2)y

=7+3

=10