Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To solve the equation
for
, follow these steps:
-
Start with the original equation:
-
Eliminate the fraction by multiplying both sides by 3:
-
Isolate
by dividing both sides by :
Final Solution:
This equation expresses
in terms of
and
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To solve for
in the equation
, you’ll want to isolate
. Start by multiplying both sides by 3 to get rid of the fraction:
Now, in a physical context, this equation could represent a relationship in fields like physics or engineering, where
might stand for a force applied over a specific area while
is a quantity reflecting the number of particles or units involved. Finding
allows you to understand how changes in
or
affect the overall system behavior. So, be sure to consider real-world implications when applying those calculations!
If you’re solving equations like this, one common pitfall is neglecting to account for units. When substituting values for
and
, ensure they are compatible (both in metric or both in imperial) to avoid errors. Also, double-check your algebraic manipulations to maintain the integrity of the equation!