17,290 views
35 votes
35 votes
Solve d=a+c/ac for a

User Gdupras
by
3.2k points

2 Answers

14 votes
14 votes

Answer:

a=d(ac)-c

Explanation:

Yes (multiply ac both sides subtract C both sides gets a alone)

User Josh Millard
by
3.1k points
21 votes
21 votes

Answer:


d = (a + c)/(ac) \\

multiply either sides by ac :


(d * ac) = ( (a + c)/(ac) ) * ac \\ \\ dac = a + c

collect a - terms together, by subtracting a from both sides:


dac - a = (a + c) - a \\ dac - a = c

factorise out a :


a(dc - 1) = c \\ \\ { \boxed{ \boxed{a = (c)/(dc - 1) }}}

User Dhanushka Gayashan
by
3.2k points