Question
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Answer
\( A = \frac{B - 10C}{2} \)
Solution
Starting with the equation:
\[
10C = B - 2A
\]
1. To isolate \( A \), first subtract \( B \) from both sides:
\[
10C - B = -2A
\]
2. Now, divide both sides by \(-2\):
\[
A = \frac{10C - B}{-2}
\]
3. Multiplying numerator and denominator by \(-1\) (which does not change the value):
\[
A = \frac{B - 10C}{2}
\]
Thus, the solution for \( A \) is:
\[
A = \frac{B - 10C}{2}
\]
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Simplify this solution Bonus Knowledge
To solve the equation \( 10 C = B - 2A \) for \( A \), you first want to isolate \( A \). You can start by rearranging the equation: First, add \( 2A \) to both sides and subtract \( 10C \) from both sides: \[ 2A = B - 10C \] Now, divide both sides by 2 to solve for \( A \): \[ A = \frac{B - 10C}{2} \] And voila! You have expressed \( A \) in terms of \( B \) and \( C \). Now, wasn't that a puzzle? Just like in cooking, sometimes you just need to rearrange the ingredients a bit to make your final dish delightful! Keep practicing with similar equations, and you’ll become a pro at variable juggling!
