To solve the first equation, we need to isolate "x" by multiplying both sides of the equation by 14:

5x/14 = 9/14
5x = 9
x = 9/5

So, the solution to the first equation is x = 9/5.

Next, to solve the second equation, we need to isolate "x" by subtracting 13/17 from both sides of the equation and then multiplying both sides by 17:

x/17 = 7 - 13/17
x/17 = 114/17
x = 114

So, the solution to the second equation is x = 114.

Therefore, the solutions to the system of equations are x = 9/5 and x = 114.