Solve for u .

Question

35 = - 7/3 u
Simplify your answer as much as possible.

Answer 1

To solve for $u$ in the equation

$$35=-\frac{7}{3}u,$$

we first want to isolate $u$. We can do this by multiplying both sides of the equation by the reciprocal of $-\frac{7}{3}$, which is $-\frac{3}{7}$:

$$u=35\cdot -\frac{3}{7}.$$

Now let's simplify the right side:

1. Multiply 35 by -3:

$$35\cdot -3=-105.$$

2. Then divide $-105$ by 7:

$$-\frac{105}{7}=-15.$$

Putting it all together, we find:

$$u=-15.$$

Therefore, the solution for $u$ is

$$\boxed{{\displaystyle -15}}.$$