Lilly, don't overthink it.
The sum of x and 3 is x + 3. Twice that is 2(x + 3) = 2x + 6, so y = 2x + 6.
y = 3x + 5 is 5 more than 3 times the smaller number.
For the 2nd part, plug in the x-value and y-values given. Which pair makes both equations true?