Question
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Tutor-Verified Answer
Answer
\( u = \frac{2}{5} \) or \( u = 0.4 \).
Solution
Solve the equation \( \frac{14}{5}=7u \).
Solve the equation by following steps:
- step0: Solve for \(u\):
\(\frac{14}{5}=7u\)
- step1: Swap the sides:
\(7u=\frac{14}{5}\)
- step2: Multiply by the reciprocal:
\(7u\times \frac{1}{7}=\frac{14}{5}\times \frac{1}{7}\)
- step3: Multiply:
\(u=\frac{2}{5}\)
The solution to the equation \( \frac{14}{5} = 7u \) is \( u = \frac{2}{5} \) or \( u = 0.4 \).
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Simplify this solution The Deep Dive
To isolate \( u \), you can start by dividing both sides of the equation by 7. This gives you: \[ u = \frac{14}{5 \times 7} \] Now, simplifying the right side, we get: \[ u = \frac{14}{35} = \frac{2}{5} \] So, \( u = \frac{2}{5} \)! And just like that, you've found the value of \( u \) with a bit of algebraic magic!
