
1 Expert Answer
Peter R. answered 02/05/23
Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.
To make the calculation easier, let's call (b + c) = g
Then the original equation is (a/g) - d = e/f. Add d to both sides:
(a/g) = (e/f) + d. Multiply both sides by g
a = g[(e/f) + d] Divide both sides by [(e/f) + d]
a/[(e/f) + d] = g Now replace g by the original b + c
b + c = a/[(e/f) + d] Subtract b from both sides.
c = a/[(e/f) + d] - b
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