Question

Please help by answer this question. It is in attachment

Answer 1

Answer:

2 & 1/2

Step-by-step explanation:

1) 2^(x+y)=√32

⇒ 2^(x+y)=√2^5

⇒ 2^(x+y)=2^(5/2)

⇒ x+y=5/2

2) 3^(x-y)=√27

⇒ 3^(x-y)=√3^3

⇒ 3^(x-y)=3^(3/2)

⇒ x-y=3/2

Got new equations:

x+y=5/2

x-y=3/2

By adding up these we have:

2x=8/4

x=2,

then

y=5/2-2=1/2