Final answer:
After solving the equations 7x = 9y and y/z = 7/5, we find that the value of x/z is 9/5.
Step-by-step explanation:
To find the value of x/z, we need to manipulate the given equations 7x = 9y and y/z = 7/5. First, solve the second equation for y to get y = (7/5)z. Next, substitute y in the first equation and solve for x: 7x = 9(7/5)z, which simplifies to x = (9/5)(7/7)z, giving x = (9/5)z. Now, we can express x/z as (9/5)z/z, which simplifies to 9/5, hence the value x/z = 9/5.