Need help with 49 and please explain

Answer:
Umm:
Step-by-step explanation:
So C is correct but the solution wasn't because x and y both don't equal to 1. Here is the way to do it:
We work first on the second equation.
[tex]x + \frac{1}{y} = 3[/tex]
Combine the two terms:
[tex]\frac{xy+1}{y} = 3[/tex]
Since we know
[tex]xy=1[/tex]
We can replace it:
[tex]\frac{1+1}{y} = 3[/tex]
We can then solve that y = 2/3.
Then, we can plug this value back into the equation
[tex]xy=1[/tex]
and get x = 3/2.
So, 2x + 3y does equal 5 but this is how you get there.