Question
6=-4/3u solve for u and simplify
Answers
GPT-4o mini
To solve the equation \( 6 = -\frac{4}{3}u \) for \( u \), follow these steps:
1. Isolate \( u \) by multiplying both sides of the equation by the reciprocal of \(-\frac{4}{3}\), which is \(-\frac{3}{4}\):
\[
u = 6 \times -\frac{3}{4}
\]
2. Calculate the right side:
\[
u = -\frac{18}{4}
\]
3. Simplify \(-\frac{18}{4}\):
\[
u = -\frac{9}{2}
\]
So, the solution is:
\[
u = -\frac{9}{2}
\]
1. Isolate \( u \) by multiplying both sides of the equation by the reciprocal of \(-\frac{4}{3}\), which is \(-\frac{3}{4}\):
\[
u = 6 \times -\frac{3}{4}
\]
2. Calculate the right side:
\[
u = -\frac{18}{4}
\]
3. Simplify \(-\frac{18}{4}\):
\[
u = -\frac{9}{2}
\]
So, the solution is:
\[
u = -\frac{9}{2}
\]