Final answer:
To solve the equation 7/2 = 3/(u-2), cross multiply and simplify to isolate u.
The final solution is u = 20/7 or approximately 2.86.
Step-by-step explanation:
The equation given is 7/2 = 3/(u-2).
To solve for u, we cross multiply to obtain a common denominator, leading to the equation 7(u - 2) = 6.
Afterwards, expand and simplify to isolate the variable u.
- Multiply both sides by (u - 2) to get 7 = 6/(u - 2).
- Cross multiply to obtain 7(u - 2) = 6.
- Distribute the 7 to obtain 7u - 14 = 6.
- Add 14 to each side to get 7u = 20.
- Divide both sides by 7 to find the value of u, which gives us u = 20/7 or approximately 2.86.