2 years, 6 months ago
Problem Isolating a Variable
Doing a complex physics problem. I have an equation in the following form:
(A+B)/C=(D-A)/E where B, C, D and E are all known.
How do I isolate the variable A?
(A+B)/C=(D-A)/E where B, C, D and E are all known.
How do I isolate the variable A?
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M$1 Answer
So from the form (A+B)/C=(D-A)/E, you'll want to separate each side into two fractions making them A/C +B/C = D/E-A/E.
Then move move the A/E to the side with the A/C and the B/C to the side with D/E giving you A/C +A/E = D/E - B/C
Then factor out A from the left side of the equation: A (1/C +1/E) = D/E - B/C
and divide (1/C + 1/E) from both sides thus isolating A giving you
A= (D/E - B/C) / (1/C + 1/E)
Good luck!
Let me know if you have any questions!
Then move move the A/E to the side with the A/C and the B/C to the side with D/E giving you A/C +A/E = D/E - B/C
Then factor out A from the left side of the equation: A (1/C +1/E) = D/E - B/C
and divide (1/C + 1/E) from both sides thus isolating A giving you
A= (D/E - B/C) / (1/C + 1/E)
Good luck!
Let me know if you have any questions!
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$
Thanks so much! Had done so much other legwork, and this ADDITIONAL roadblock was frustrating me.